Общий множитель 24*x^6-44*x^4*y-18*x^2*y^2+33*y^4

Учитель очень удивится увидев твоё верное решение 😼

Решение

Собрать выражение [src]
    6       4         4       2  2
24*x  + 33*y  - 44*y*x  - 18*x *y 
24x644x4y18x2y2+33y424 x^{6} - 44 x^{4} y - 18 x^{2} y^{2} + 33 y^{4}
Общее упрощение [src]
    6       4         4       2  2
24*x  + 33*y  - 44*y*x  - 18*x *y 
24x644x4y18x2y2+33y424 x^{6} - 44 x^{4} y - 18 x^{2} y^{2} + 33 y^{4}
Комбинаторика [src]
    6       4         4       2  2
24*x  + 33*y  - 44*y*x  - 18*x *y 
24x644x4y18x2y2+33y424 x^{6} - 44 x^{4} y - 18 x^{2} y^{2} + 33 y^{4}
Объединение рациональных выражений [src]
    4      2 /     2      2 /           2\\
33*y  + 2*x *\- 9*y  + 2*x *\-11*y + 6*x //
2x2(2x2(6x211y)9y2)+33y42 x^{2} \left(2 x^{2} \left(6 x^{2} - 11 y\right) - 9 y^{2}\right) + 33 y^{4}
Разложение на множители [src]
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|    \/                                                                                           \/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   | |    \/                                                                                           \/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   | |          /                                              2   *\- 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y /                                                                                                                       808*\/ 2 *y                                                                                                                    22*y*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y                                                                                    I*2   *\/ 3 *\- 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y /                                                                                22*I*y*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y                                        | |          /                                              2   *\- 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y /                                                                                                                       808*\/ 2 *y                                                                                                                    22*y*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y                                                                                    I*2   *\/ 3 *\- 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y /                                                                                22*I*y*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y                                        | |          /                                               2   *\- 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y /                                                                                      22*y*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y                                                                                                                    808*\/ 2 *y                                                                                                               I*2   *\/ 3 *\- 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y /                                                                              22*I*y*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y                                       | |          /                                               2   *\- 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y /                                                                                      22*y*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y                                                                                                                    808*\/ 2 *y                                                                                                               I*2   *\/ 3 *\- 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y /                                                                              22*I*y*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y                                       |
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                                                                                                                                                                                                                                                                                                                                                  \    \/         - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   / \    \/         - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     - 36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   / \    \/           36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   / \    \/           36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y     36*\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   + 36*I*\/ 3 *\/   - 5335*y  + 27*\/  - 117370*y  - 6183*y  + 88209*y   + 8019*y   /
(x40423y28019y45335y3+2788209y8117370y76183y63+22y2238019y45335y3+2788209y8117370y76183y636)(x+40423y28019y45335y3+2788209y8117370y76183y63+22y2238019y45335y3+2788209y8117370y76183y636)(x+80823y2368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y6322y8019y45335y3+2788209y8117370y76183y63368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+223iy8019y45335y3+2788209y8117370y76183y63368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+223(8019y45335y3+2788209y8117370y76183y6)23368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+2233i(8019y45335y3+2788209y8117370y76183y6)23368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63)(x80823y2368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y6322y8019y45335y3+2788209y8117370y76183y63368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+223iy8019y45335y3+2788209y8117370y76183y63368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+223(8019y45335y3+2788209y8117370y76183y6)23368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+2233i(8019y45335y3+2788209y8117370y76183y6)23368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63)(x+80823y2368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+22y8019y45335y3+2788209y8117370y76183y63368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+223iy8019y45335y3+2788209y8117370y76183y63368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63223(8019y45335y3+2788209y8117370y76183y6)23368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+2233i(8019y45335y3+2788209y8117370y76183y6)23368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63)(x80823y2368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+22y8019y45335y3+2788209y8117370y76183y63368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+223iy8019y45335y3+2788209y8117370y76183y63368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63223(8019y45335y3+2788209y8117370y76183y6)23368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63+2233i(8019y45335y3+2788209y8117370y76183y6)23368019y45335y3+2788209y8117370y76183y63+363i8019y45335y3+2788209y8117370y76183y63)\left(x - \frac{\sqrt{- \frac{404 \sqrt[3]{2} y^{2}}{\sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} + 22 y - 2^{\frac{2}{3}} \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}}{6}\right) \left(x + \frac{\sqrt{- \frac{404 \sqrt[3]{2} y^{2}}{\sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} + 22 y - 2^{\frac{2}{3}} \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}}{6}\right) \left(x + \sqrt{- \frac{808 \sqrt[3]{2} y^{2}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} - \frac{22 y \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} + \frac{22 \sqrt{3} i y \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} + \frac{2^{\frac{2}{3}} \left(8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}\right)^{\frac{2}{3}}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} + \frac{2^{\frac{2}{3}} \sqrt{3} i \left(8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}\right)^{\frac{2}{3}}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}}\right) \left(x - \sqrt{- \frac{808 \sqrt[3]{2} y^{2}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} - \frac{22 y \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} + \frac{22 \sqrt{3} i y \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} + \frac{2^{\frac{2}{3}} \left(8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}\right)^{\frac{2}{3}}}{- 36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 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5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}{36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} - \frac{2^{\frac{2}{3}} \left(8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}\right)^{\frac{2}{3}}}{36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}} + \frac{2^{\frac{2}{3}} \sqrt{3} i \left(8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}\right)^{\frac{2}{3}}}{36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}}\right) \left(x - \sqrt{\frac{808 \sqrt[3]{2} y^{2}}{36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 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117370 y^{7} - 6183 y^{6}}}} + \frac{2^{\frac{2}{3}} \sqrt{3} i \left(8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}\right)^{\frac{2}{3}}}{36 \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}} + 36 \sqrt{3} i \sqrt[3]{8019 y^{4} - 5335 y^{3} + 27 \sqrt{88209 y^{8} - 117370 y^{7} - 6183 y^{6}}}}}\right)