Подстановка условия
[src]256 + (6 + x)^2 + (10 + x)^2/(32*(6 + x)) при x = 3
256 + (6 + x)^2 + (10 + x)^2/(32*(6 + x))
$$\left(x + 6\right)^{2} + 256 + \frac{\left(x + 10\right)^{2}}{32 \left(x + 6\right)}$$
256 + (6 + (3))^2 + (10 + (3))^2/(32*(6 + (3)))
$$\left((3) + 6\right)^{2} + 256 + \frac{\left((3) + 10\right)^{2}}{32 \left((3) + 6\right)}$$
256 + (6 + 3)^2 + (10 + 3)^2/(32*(6 + 3))
$$\frac{\left(3 + 10\right)^{2}}{32 \left(3 + 6\right)} + \left(3 + 6\right)^{2} + 256$$
2
2 (10 + x)
256 + (6 + x) + ----------
192 + 32*x
$$\left(x + 6\right)^{2} + \frac{\left(x + 10\right)^{2}}{32 x + 192} + 256$$
256.0 + (6.0 + x)^2 + (10.0 + x)^2/(192.0 + 32.0*x)
Рациональный знаменатель
[src] 2 / 2\
(10 + x) + (192 + 32*x)*\256 + (6 + x) /
-----------------------------------------
192 + 32*x
$$\frac{1}{32 x + 192} \left(\left(x + 10\right)^{2} + \left(32 x + 192\right) \left(\left(x + 6\right)^{2} + 256\right)\right)$$
Объединение рациональных выражений
[src] 2 / 2\
(10 + x) + 32*(6 + x)*\256 + (6 + x) /
---------------------------------------
32*(6 + x)
$$\frac{1}{32 x + 192} \left(32 \left(x + 6\right) \left(\left(x + 6\right)^{2} + 256\right) + \left(x + 10\right)^{2}\right)$$
3 2
56164 + 32*x + 577*x + 11668*x
--------------------------------
32*(6 + x)
$$\frac{1}{32 x + 192} \left(32 x^{3} + 577 x^{2} + 11668 x + 56164\right)$$
4679 2 1 385*x
---- + x + -------- + -----
16 12 + 2*x 32
$$x^{2} + \frac{385 x}{32} + \frac{4679}{16} + \frac{1}{2 x + 12}$$
3 2
56164 + 32*x + 577*x + 11668*x
--------------------------------
32*(6 + x)
$$\frac{1}{32 x + 192} \left(32 x^{3} + 577 x^{2} + 11668 x + 56164\right)$$
2
2 (10 + x)
256 + (6 + x) + ----------
32*(6 + x)
$$\left(x + 6\right)^{2} + 256 + \frac{\left(x + 10\right)^{2}}{32 x + 192}$$