Подстановка условия
[src](x + y + z + q)^10 при y = 3
$$\left(q + z + x + y\right)^{10}$$
$$\left(q + z + (3) + x\right)^{10}$$
$$\left(q + z + x + 3\right)^{10}$$
$$\left(q + x + z + 3\right)^{10}$$
$$\left(q + x + y + z\right)^{10}$$
Рациональный знаменатель
[src]$$\left(q + x + y + z\right)^{10}$$
Объединение рациональных выражений
[src]$$\left(q + x + y + z\right)^{10}$$
$$\left(q + x + y + z\right)^{10}$$
$$\left(q + x + y + z\right)^{10}$$
$$\left(q + x + y + z\right)^{10}$$
10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 2 8 2 8 2 8 8 2 8 2 8 2 2 8 2 8 8 2 8 2 2 8 8 2 3 7 3 7 3 7 7 3 7 3 7 3 3 7 3 7 7 3 7 3 3 7 7 3 4 6 4 6 4 6 6 4 6 4 6 4 4 6 4 6 6 4 6 4 4 6 6 4 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 2 7 2 7 7 2 7 2 2 7 7 2 2 7 2 7 7 2 7 2 2 7 7 2 2 7 2 7 7 2 7 2 2 7 7 2 2 7 2 7 7 2 7 2 2 7 7 2 3 6 3 6 6 3 6 3 3 6 6 3 3 6 3 6 6 3 6 3 3 6 6 3 3 6 3 6 6 3 6 3 3 6 6 3 3 6 3 6 6 3 6 3 3 6 6 3 4 5 4 5 5 4 5 4 4 5 5 4 4 5 4 5 5 4 5 4 4 5 5 4 4 5 4 5 5 4 5 4 4 5 5 4 4 5 4 5 5 4 5 4 4 5 5 4 2 2 6 2 2 6 2 6 2 2 6 2 2 2 6 2 6 2 6 2 2 6 2 2 6 2 2 2 2 6 2 6 2 6 2 2 2 3 5 2 3 5 2 5 3 2 5 3 2 3 5 2 5 3 3 2 5 3 2 5 3 5 2 3 5 2 3 2 5 3 5 2 5 2 3 5 2 3 5 3 2 5 3 2 5 2 3 5 3 2 2 3 5 2 5 3 3 2 5 3 5 2 5 2 3 5 3 2 2 4 4 2 4 4 2 4 4 4 2 4 4 2 4 4 4 2 4 4 2 4 2 4 4 4 2 2 4 4 4 2 4 4 4 2 3 3 4 3 3 4 3 4 3 3 4 3 3 3 4 3 4 3 4 3 3 4 3 3 4 3 3 3 3 4 3 4 3 4 3 3 7 7 7 7 2 6 6 2 2 6 6 2 2 6 6 2 2 6 6 2 2 6 6 2 2 6 6 2 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 4 4 4 4 4 4 4 4 4 4 4 4 2 2 5 2 5 2 5 2 2 2 2 5 2 5 2 5 2 2 2 2 5 2 5 2 5 2 2 2 2 5 2 5 2 5 2 2 2 3 4 2 4 3 3 2 4 3 4 2 4 2 3 4 3 2 2 3 4 2 4 3 3 2 4 3 4 2 4 2 3 4 3 2 2 3 4 2 4 3 3 2 4 3 4 2 4 2 3 4 3 2 2 3 4 2 4 3 3 2 4 3 4 2 4 2 3 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 4 2 2 4 2 2 4 2 2 4 2 2 2 2 2 3 3 2 3 2 3 2 3 3 2 3 2 2 3 3 2 3 2 3 3 2 2
q + x + y + z + 10*q*x + 10*q*y + 10*q*z + 10*x*q + 10*x*y + 10*x*z + 10*y*q + 10*y*x + 10*y*z + 10*z*q + 10*z*x + 10*z*y + 45*q *x + 45*q *y + 45*q *z + 45*q *x + 45*q *y + 45*q *z + 45*x *y + 45*x *z + 45*x *y + 45*x *z + 45*y *z + 45*y *z + 120*q *x + 120*q *y + 120*q *z + 120*q *x + 120*q *y + 120*q *z + 120*x *y + 120*x *z + 120*x *y + 120*x *z + 120*y *z + 120*y *z + 210*q *x + 210*q *y + 210*q *z + 210*q *x + 210*q *y + 210*q *z + 210*x *y + 210*x *z + 210*x *y + 210*x *z + 210*y *z + 210*y *z + 252*q *x + 252*q *y + 252*q *z + 252*x *y + 252*x *z + 252*y *z + 90*q*x*y + 90*q*x*z + 90*q*y*x + 90*q*y*z + 90*q*z*x + 90*q*z*y + 90*x*y*q + 90*x*y*z + 90*x*z*q + 90*x*z*y + 90*y*z*q + 90*y*z*x + 360*q*x *y + 360*q*x *z + 360*q*x *y + 360*q*x *z + 360*q*y *z + 360*q*y *z + 360*x*q *y + 360*x*q *z + 360*x*q *y + 360*x*q *z + 360*x*y *z + 360*x*y *z + 360*y*q *x + 360*y*q *z + 360*y*q *x + 360*y*q *z + 360*y*x *z + 360*y*x *z + 360*z*q *x + 360*z*q *y + 360*z*q *x + 360*z*q *y + 360*z*x *y + 360*z*x *y + 840*q*x *y + 840*q*x *z + 840*q*x *y + 840*q*x *z + 840*q*y *z + 840*q*y *z + 840*x*q *y + 840*x*q *z + 840*x*q *y + 840*x*q *z + 840*x*y *z + 840*x*y *z + 840*y*q *x + 840*y*q *z + 840*y*q *x + 840*y*q *z + 840*y*x *z + 840*y*x *z + 840*z*q *x + 840*z*q *y + 840*z*q *x + 840*z*q *y + 840*z*x *y + 840*z*x *y + 1260*q*x *y + 1260*q*x *z + 1260*q*x *y + 1260*q*x *z + 1260*q*y *z + 1260*q*y *z + 1260*x*q *y + 1260*x*q *z + 1260*x*q *y + 1260*x*q *z + 1260*x*y *z + 1260*x*y *z + 1260*y*q *x + 1260*y*q *z + 1260*y*q *x + 1260*y*q *z + 1260*y*x *z + 1260*y*x *z + 1260*z*q *x + 1260*z*q *y + 1260*z*q *x + 1260*z*q *y + 1260*z*x *y + 1260*z*x *y + 1260*q *x *y + 1260*q *x *z + 1260*q *x *y + 1260*q *x *z + 1260*q *y *z + 1260*q *y *z + 1260*q *x *y + 1260*q *x *z + 1260*q *y *z + 1260*x *y *z + 1260*x *y *z + 1260*x *y *z + 2520*q *x *y + 2520*q *x *z + 2520*q *x *y + 2520*q *x *z + 2520*q *y *z + 2520*q *y *z + 2520*q *x *y + 2520*q *x *z + 2520*q *x *y + 2520*q *x *z + 2520*q *y *z + 2520*q *y *z + 2520*q *x *y + 2520*q *x *z + 2520*q *x *y + 2520*q *x *z + 2520*q *y *z + 2520*q *y *z + 2520*x *y *z + 2520*x *y *z + 2520*x *y *z + 2520*x *y *z + 2520*x *y *z + 2520*x *y *z + 3150*q *x *y + 3150*q *x *z + 3150*q *y *z + 3150*q *x *y + 3150*q *x *z + 3150*q *x *y + 3150*q *x *z + 3150*q *y *z + 3150*q *y *z + 3150*x *y *z + 3150*x *y *z + 3150*x *y *z + 4200*q *x *y + 4200*q *x *z + 4200*q *x *y + 4200*q *x *z + 4200*q *y *z + 4200*q *y *z + 4200*q *x *y + 4200*q *x *z + 4200*q *y *z + 4200*x *y *z + 4200*x *y *z + 4200*x *y *z + 720*q*x*y*z + 720*q*x*z*y + 720*q*y*z*x + 720*x*y*z*q + 2520*q*x*y *z + 2520*q*x*y *z + 2520*q*y*x *z + 2520*q*y*x *z + 2520*q*z*x *y + 2520*q*z*x *y + 2520*x*y*q *z + 2520*x*y*q *z + 2520*x*z*q *y + 2520*x*z*q *y + 2520*y*z*q *x + 2520*y*z*q *x + 5040*q*x*y *z + 5040*q*x*y *z + 5040*q*y*x *z + 5040*q*y*x *z + 5040*q*z*x *y + 5040*q*z*x *y + 5040*x*y*q *z + 5040*x*y*q *z + 5040*x*z*q *y + 5040*x*z*q *y + 5040*y*z*q *x + 5040*y*z*q *x + 6300*q*x*y *z + 6300*q*y*x *z + 6300*q*z*x *y + 6300*x*y*q *z + 6300*x*z*q *y + 6300*y*z*q *x + 7560*q*x *y *z + 7560*q*x *y *z + 7560*q*x *y *z + 7560*x*q *y *z + 7560*x*q *y *z + 7560*x*q *y *z + 7560*y*q *x *z + 7560*y*q *x *z + 7560*y*q *x *z + 7560*z*q *x *y + 7560*z*q *x *y + 7560*z*q *x *y + 12600*q*x *y *z + 12600*q*x *y *z + 12600*q*x *y *z + 12600*q*x *y *z + 12600*q*x *y *z + 12600*q*x *y *z + 12600*x*q *y *z + 12600*x*q *y *z + 12600*x*q *y *z + 12600*x*q *y *z + 12600*x*q *y *z + 12600*x*q *y *z + 12600*y*q *x *z + 12600*y*q *x *z + 12600*y*q *x *z + 12600*y*q *x *z + 12600*y*q *x *z + 12600*y*q *x *z + 12600*z*q *x *y + 12600*z*q *x *y + 12600*z*q *x *y + 12600*z*q *x *y + 12600*z*q *x *y + 12600*z*q *x *y + 16800*q*x *y *z + 16800*x*q *y *z + 16800*y*q *x *z + 16800*z*q *x *y + 18900*q *x *y *z + 18900*q *x *y *z + 18900*q *x *y *z + 18900*q *x *y *z + 25200*q *x *y *z + 25200*q *x *y *z + 25200*q *x *y *z + 25200*q *x *y *z + 25200*q *x *y *z + 25200*q *x *y *z
$$q^{10} + 10 q^{9} x + 10 q^{9} y + 10 q^{9} z + 45 q^{8} x^{2} + 90 q^{8} x y + 90 q^{8} x z + 45 q^{8} y^{2} + 90 q^{8} y z + 45 q^{8} z^{2} + 120 q^{7} x^{3} + 360 q^{7} x^{2} y + 360 q^{7} x^{2} z + 360 q^{7} x y^{2} + 720 q^{7} x y z + 360 q^{7} x z^{2} + 120 q^{7} y^{3} + 360 q^{7} y^{2} z + 360 q^{7} y z^{2} + 120 q^{7} z^{3} + 210 q^{6} x^{4} + 840 q^{6} x^{3} y + 840 q^{6} x^{3} z + 1260 q^{6} x^{2} y^{2} + 2520 q^{6} x^{2} y z + 1260 q^{6} x^{2} z^{2} + 840 q^{6} x y^{3} + 2520 q^{6} x y^{2} z + 2520 q^{6} x y z^{2} + 840 q^{6} x z^{3} + 210 q^{6} y^{4} + 840 q^{6} y^{3} z + 1260 q^{6} y^{2} z^{2} + 840 q^{6} y z^{3} + 210 q^{6} z^{4} + 252 q^{5} x^{5} + 1260 q^{5} x^{4} y + 1260 q^{5} x^{4} z + 2520 q^{5} x^{3} y^{2} + 5040 q^{5} x^{3} y z + 2520 q^{5} x^{3} z^{2} + 2520 q^{5} x^{2} y^{3} + 7560 q^{5} x^{2} y^{2} z + 7560 q^{5} x^{2} y z^{2} + 2520 q^{5} x^{2} z^{3} + 1260 q^{5} x y^{4} + 5040 q^{5} x y^{3} z + 7560 q^{5} x y^{2} z^{2} + 5040 q^{5} x y z^{3} + 1260 q^{5} x z^{4} + 252 q^{5} y^{5} + 1260 q^{5} y^{4} z + 2520 q^{5} y^{3} z^{2} + 2520 q^{5} y^{2} z^{3} + 1260 q^{5} y z^{4} + 252 q^{5} z^{5} + 210 q^{4} x^{6} + 1260 q^{4} x^{5} y + 1260 q^{4} x^{5} z + 3150 q^{4} x^{4} y^{2} + 6300 q^{4} x^{4} y z + 3150 q^{4} x^{4} z^{2} + 4200 q^{4} x^{3} y^{3} + 12600 q^{4} x^{3} y^{2} z + 12600 q^{4} x^{3} y z^{2} + 4200 q^{4} x^{3} z^{3} + 3150 q^{4} x^{2} y^{4} + 12600 q^{4} x^{2} y^{3} z + 18900 q^{4} x^{2} y^{2} z^{2} + 12600 q^{4} x^{2} y z^{3} + 3150 q^{4} x^{2} z^{4} + 1260 q^{4} x y^{5} + 6300 q^{4} x y^{4} z + 12600 q^{4} x y^{3} z^{2} + 12600 q^{4} x y^{2} z^{3} + 6300 q^{4} x y z^{4} + 1260 q^{4} x z^{5} + 210 q^{4} y^{6} + 1260 q^{4} y^{5} z + 3150 q^{4} y^{4} z^{2} + 4200 q^{4} y^{3} z^{3} + 3150 q^{4} y^{2} z^{4} + 1260 q^{4} y z^{5} + 210 q^{4} z^{6} + 120 q^{3} x^{7} + 840 q^{3} x^{6} y + 840 q^{3} x^{6} z + 2520 q^{3} x^{5} y^{2} + 5040 q^{3} x^{5} y z + 2520 q^{3} x^{5} z^{2} + 4200 q^{3} x^{4} y^{3} + 12600 q^{3} x^{4} y^{2} z + 12600 q^{3} x^{4} y z^{2} + 4200 q^{3} x^{4} z^{3} + 4200 q^{3} x^{3} y^{4} + 16800 q^{3} x^{3} y^{3} z + 25200 q^{3} x^{3} y^{2} z^{2} + 16800 q^{3} x^{3} y z^{3} + 4200 q^{3} x^{3} z^{4} + 2520 q^{3} x^{2} y^{5} + 12600 q^{3} x^{2} y^{4} z + 25200 q^{3} x^{2} y^{3} z^{2} + 25200 q^{3} x^{2} y^{2} z^{3} + 12600 q^{3} x^{2} y z^{4} + 2520 q^{3} x^{2} z^{5} + 840 q^{3} x y^{6} + 5040 q^{3} x y^{5} z + 12600 q^{3} x y^{4} z^{2} + 16800 q^{3} x y^{3} z^{3} + 12600 q^{3} x y^{2} z^{4} + 5040 q^{3} x y z^{5} + 840 q^{3} x z^{6} + 120 q^{3} y^{7} + 840 q^{3} y^{6} z + 2520 q^{3} y^{5} z^{2} + 4200 q^{3} y^{4} z^{3} + 4200 q^{3} y^{3} z^{4} + 2520 q^{3} y^{2} z^{5} + 840 q^{3} y z^{6} + 120 q^{3} z^{7} + 45 q^{2} x^{8} + 360 q^{2} x^{7} y + 360 q^{2} x^{7} z + 1260 q^{2} x^{6} y^{2} + 2520 q^{2} x^{6} y z + 1260 q^{2} x^{6} z^{2} + 2520 q^{2} x^{5} y^{3} + 7560 q^{2} x^{5} y^{2} z + 7560 q^{2} x^{5} y z^{2} + 2520 q^{2} x^{5} z^{3} + 3150 q^{2} x^{4} y^{4} + 12600 q^{2} x^{4} y^{3} z + 18900 q^{2} x^{4} y^{2} z^{2} + 12600 q^{2} x^{4} y z^{3} + 3150 q^{2} x^{4} z^{4} + 2520 q^{2} x^{3} y^{5} + 12600 q^{2} x^{3} y^{4} z + 25200 q^{2} x^{3} y^{3} z^{2} + 25200 q^{2} x^{3} y^{2} z^{3} + 12600 q^{2} x^{3} y z^{4} + 2520 q^{2} x^{3} z^{5} + 1260 q^{2} x^{2} y^{6} + 7560 q^{2} x^{2} y^{5} z + 18900 q^{2} x^{2} y^{4} z^{2} + 25200 q^{2} x^{2} y^{3} z^{3} + 18900 q^{2} x^{2} y^{2} z^{4} + 7560 q^{2} x^{2} y z^{5} + 1260 q^{2} x^{2} z^{6} + 360 q^{2} x y^{7} + 2520 q^{2} x y^{6} z + 7560 q^{2} x y^{5} z^{2} + 12600 q^{2} x y^{4} z^{3} + 12600 q^{2} x y^{3} z^{4} + 7560 q^{2} x y^{2} z^{5} + 2520 q^{2} x y z^{6} + 360 q^{2} x z^{7} + 45 q^{2} y^{8} + 360 q^{2} y^{7} z + 1260 q^{2} y^{6} z^{2} + 2520 q^{2} y^{5} z^{3} + 3150 q^{2} y^{4} z^{4} + 2520 q^{2} y^{3} z^{5} + 1260 q^{2} y^{2} z^{6} + 360 q^{2} y z^{7} + 45 q^{2} z^{8} + 10 q x^{9} + 90 q x^{8} y + 90 q x^{8} z + 360 q x^{7} y^{2} + 720 q x^{7} y z + 360 q x^{7} z^{2} + 840 q x^{6} y^{3} + 2520 q x^{6} y^{2} z + 2520 q x^{6} y z^{2} + 840 q x^{6} z^{3} + 1260 q x^{5} y^{4} + 5040 q x^{5} y^{3} z + 7560 q x^{5} y^{2} z^{2} + 5040 q x^{5} y z^{3} + 1260 q x^{5} z^{4} + 1260 q x^{4} y^{5} + 6300 q x^{4} y^{4} z + 12600 q x^{4} y^{3} z^{2} + 12600 q x^{4} y^{2} z^{3} + 6300 q x^{4} y z^{4} + 1260 q x^{4} z^{5} + 840 q x^{3} y^{6} + 5040 q x^{3} y^{5} z + 12600 q x^{3} y^{4} z^{2} + 16800 q x^{3} y^{3} z^{3} + 12600 q x^{3} y^{2} z^{4} + 5040 q x^{3} y z^{5} + 840 q x^{3} z^{6} + 360 q x^{2} y^{7} + 2520 q x^{2} y^{6} z + 7560 q x^{2} y^{5} z^{2} + 12600 q x^{2} y^{4} z^{3} + 12600 q x^{2} y^{3} z^{4} + 7560 q x^{2} y^{2} z^{5} + 2520 q x^{2} y z^{6} + 360 q x^{2} z^{7} + 90 q x y^{8} + 720 q x y^{7} z + 2520 q x y^{6} z^{2} + 5040 q x y^{5} z^{3} + 6300 q x y^{4} z^{4} + 5040 q x y^{3} z^{5} + 2520 q x y^{2} z^{6} + 720 q x y z^{7} + 90 q x z^{8} + 10 q y^{9} + 90 q y^{8} z + 360 q y^{7} z^{2} + 840 q y^{6} z^{3} + 1260 q y^{5} z^{4} + 1260 q y^{4} z^{5} + 840 q y^{3} z^{6} + 360 q y^{2} z^{7} + 90 q y z^{8} + 10 q z^{9} + x^{10} + 10 x^{9} y + 10 x^{9} z + 45 x^{8} y^{2} + 90 x^{8} y z + 45 x^{8} z^{2} + 120 x^{7} y^{3} + 360 x^{7} y^{2} z + 360 x^{7} y z^{2} + 120 x^{7} z^{3} + 210 x^{6} y^{4} + 840 x^{6} y^{3} z + 1260 x^{6} y^{2} z^{2} + 840 x^{6} y z^{3} + 210 x^{6} z^{4} + 252 x^{5} y^{5} + 1260 x^{5} y^{4} z + 2520 x^{5} y^{3} z^{2} + 2520 x^{5} y^{2} z^{3} + 1260 x^{5} y z^{4} + 252 x^{5} z^{5} + 210 x^{4} y^{6} + 1260 x^{4} y^{5} z + 3150 x^{4} y^{4} z^{2} + 4200 x^{4} y^{3} z^{3} + 3150 x^{4} y^{2} z^{4} + 1260 x^{4} y z^{5} + 210 x^{4} z^{6} + 120 x^{3} y^{7} + 840 x^{3} y^{6} z + 2520 x^{3} y^{5} z^{2} + 4200 x^{3} y^{4} z^{3} + 4200 x^{3} y^{3} z^{4} + 2520 x^{3} y^{2} z^{5} + 840 x^{3} y z^{6} + 120 x^{3} z^{7} + 45 x^{2} y^{8} + 360 x^{2} y^{7} z + 1260 x^{2} y^{6} z^{2} + 2520 x^{2} y^{5} z^{3} + 3150 x^{2} y^{4} z^{4} + 2520 x^{2} y^{3} z^{5} + 1260 x^{2} y^{2} z^{6} + 360 x^{2} y z^{7} + 45 x^{2} z^{8} + 10 x y^{9} + 90 x y^{8} z + 360 x y^{7} z^{2} + 840 x y^{6} z^{3} + 1260 x y^{5} z^{4} + 1260 x y^{4} z^{5} + 840 x y^{3} z^{6} + 360 x y^{2} z^{7} + 90 x y z^{8} + 10 x z^{9} + y^{10} + 10 y^{9} z + 45 y^{8} z^{2} + 120 y^{7} z^{3} + 210 y^{6} z^{4} + 252 y^{5} z^{5} + 210 y^{4} z^{6} + 120 y^{3} z^{7} + 45 y^{2} z^{8} + 10 y z^{9} + z^{10}$$
