Раскрыть скобки в (x+a)*(x+b)*(x+c)*(x+d)*(x+e)*(x+f)*(x+g)*(x+h)

Учитель очень удивится увидев твоё верное решение 😼

Решение

Вы ввели [src]
(x + a)*(x + b)*(x + c)*(x + d)*(x + E)*(x + f)*(x + g)*(x + h)
$$\left(a + x\right) \left(b + x\right) \left(c + x\right) \left(d + x\right) \left(x + e\right) \left(f + x\right) \left(g + x\right) \left(h + x\right)$$
Степени [src]
(E + x)*(a + x)*(b + x)*(c + x)*(d + x)*(f + x)*(g + x)*(h + x)
$$\left(a + x\right) \left(b + x\right) \left(c + x\right) \left(d + x\right) \left(f + x\right) \left(g + x\right) \left(h + x\right) \left(x + e\right)$$
Численный ответ [src]
(2.71828182845905 + x)*(a + x)*(b + x)*(c + x)*(d + x)*(f + x)*(g + x)*(h + x)
Рациональный знаменатель [src]
(E + x)*(a + x)*(b + x)*(c + x)*(d + x)*(f + x)*(g + x)*(h + x)
$$\left(a + x\right) \left(b + x\right) \left(c + x\right) \left(d + x\right) \left(f + x\right) \left(g + x\right) \left(h + x\right) \left(x + e\right)$$
Объединение рациональных выражений [src]
(E + x)*(a + x)*(b + x)*(c + x)*(d + x)*(f + x)*(g + x)*(h + x)
$$\left(a + x\right) \left(b + x\right) \left(c + x\right) \left(d + x\right) \left(f + x\right) \left(g + x\right) \left(h + x\right) \left(x + e\right)$$
Общее упрощение [src]
(E + x)*(a + x)*(b + x)*(c + x)*(d + x)*(f + x)*(g + x)*(h + x)
$$\left(a + x\right) \left(b + x\right) \left(c + x\right) \left(d + x\right) \left(f + x\right) \left(g + x\right) \left(h + x\right) \left(x + e\right)$$
Собрать выражение [src]
(E + x)*(a + x)*(b + x)*(c + x)*(d + x)*(f + x)*(g + x)*(h + x)
$$\left(a + x\right) \left(b + x\right) \left(c + x\right) \left(d + x\right) \left(f + x\right) \left(g + x\right) \left(h + x\right) \left(x + e\right)$$
Комбинаторика [src]
(E + x)*(a + x)*(b + x)*(c + x)*(d + x)*(f + x)*(g + x)*(h + x)
$$\left(a + x\right) \left(b + x\right) \left(c + x\right) \left(d + x\right) \left(f + x\right) \left(g + x\right) \left(h + x\right) \left(x + e\right)$$
Общий знаменатель [src]
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x  + E*x  + a*x  + b*x  + c*x  + d*x  + f*x  + g*x  + h*x  + E*a*x  + E*b*x  + E*c*x  + E*d*x  + E*f*x  + E*g*x  + E*h*x  + a*b*x  + a*c*x  + a*d*x  + a*f*x  + a*g*x  + a*h*x  + b*c*x  + b*d*x  + b*f*x  + b*g*x  + b*h*x  + c*d*x  + c*f*x  + c*g*x  + c*h*x  + d*f*x  + d*g*x  + d*h*x  + f*g*x  + f*h*x  + g*h*x  + E*a*b*x  + E*a*c*x  + E*a*d*x  + E*a*f*x  + E*a*g*x  + E*a*h*x  + E*b*c*x  + E*b*d*x  + E*b*f*x  + E*b*g*x  + E*b*h*x  + E*c*d*x  + E*c*f*x  + E*c*g*x  + E*c*h*x  + E*d*f*x  + E*d*g*x  + E*d*h*x  + E*f*g*x  + E*f*h*x  + E*g*h*x  + a*b*c*x  + a*b*d*x  + a*b*f*x  + a*b*g*x  + a*b*h*x  + a*c*d*x  + a*c*f*x  + a*c*g*x  + a*c*h*x  + a*d*f*x  + a*d*g*x  + a*d*h*x  + a*f*g*x  + a*f*h*x  + a*g*h*x  + b*c*d*x  + b*c*f*x  + b*c*g*x  + b*c*h*x  + b*d*f*x  + b*d*g*x  + b*d*h*x  + b*f*g*x  + b*f*h*x  + b*g*h*x  + c*d*f*x  + c*d*g*x  + c*d*h*x  + c*f*g*x  + c*f*h*x  + c*g*h*x  + d*f*g*x  + d*f*h*x  + d*g*h*x  + f*g*h*x  + E*a*b*c*x  + E*a*b*d*x  + E*a*b*f*x  + E*a*b*g*x  + E*a*b*h*x  + E*a*c*d*x  + E*a*c*f*x  + E*a*c*g*x  + E*a*c*h*x  + E*a*d*f*x  + E*a*d*g*x  + E*a*d*h*x  + E*a*f*g*x  + E*a*f*h*x  + E*a*g*h*x  + E*b*c*d*x  + E*b*c*f*x  + E*b*c*g*x  + E*b*c*h*x  + E*b*d*f*x  + E*b*d*g*x  + E*b*d*h*x  + E*b*f*g*x  + E*b*f*h*x  + E*b*g*h*x  + E*c*d*f*x  + E*c*d*g*x  + E*c*d*h*x  + E*c*f*g*x  + E*c*f*h*x  + E*c*g*h*x  + E*d*f*g*x  + E*d*f*h*x  + E*d*g*h*x  + E*f*g*h*x  + a*b*c*d*x  + a*b*c*f*x  + a*b*c*g*x  + a*b*c*h*x  + a*b*d*f*x  + a*b*d*g*x  + a*b*d*h*x  + a*b*f*g*x  + a*b*f*h*x  + a*b*g*h*x  + a*c*d*f*x  + a*c*d*g*x  + a*c*d*h*x  + a*c*f*g*x  + a*c*f*h*x  + a*c*g*h*x  + a*d*f*g*x  + a*d*f*h*x  + a*d*g*h*x  + a*f*g*h*x  + b*c*d*f*x  + b*c*d*g*x  + b*c*d*h*x  + b*c*f*g*x  + b*c*f*h*x  + b*c*g*h*x  + b*d*f*g*x  + b*d*f*h*x  + b*d*g*h*x  + b*f*g*h*x  + c*d*f*g*x  + c*d*f*h*x  + c*d*g*h*x  + c*f*g*h*x  + d*f*g*h*x  + E*a*b*c*d*x  + E*a*b*c*f*x  + E*a*b*c*g*x  + E*a*b*c*h*x  + E*a*b*d*f*x  + E*a*b*d*g*x  + E*a*b*d*h*x  + E*a*b*f*g*x  + E*a*b*f*h*x  + E*a*b*g*h*x  + E*a*c*d*f*x  + E*a*c*d*g*x  + E*a*c*d*h*x  + E*a*c*f*g*x  + E*a*c*f*h*x  + E*a*c*g*h*x  + E*a*d*f*g*x  + E*a*d*f*h*x  + E*a*d*g*h*x  + E*a*f*g*h*x  + E*b*c*d*f*x  + E*b*c*d*g*x  + E*b*c*d*h*x  + E*b*c*f*g*x  + E*b*c*f*h*x  + E*b*c*g*h*x  + E*b*d*f*g*x  + E*b*d*f*h*x  + E*b*d*g*h*x  + E*b*f*g*h*x  + E*c*d*f*g*x  + E*c*d*f*h*x  + E*c*d*g*h*x  + E*c*f*g*h*x  + E*d*f*g*h*x  + a*b*c*d*f*x  + a*b*c*d*g*x  + a*b*c*d*h*x  + a*b*c*f*g*x  + a*b*c*f*h*x  + a*b*c*g*h*x  + a*b*d*f*g*x  + a*b*d*f*h*x  + a*b*d*g*h*x  + a*b*f*g*h*x  + a*c*d*f*g*x  + a*c*d*f*h*x  + a*c*d*g*h*x  + a*c*f*g*h*x  + a*d*f*g*h*x  + b*c*d*f*g*x  + b*c*d*f*h*x  + b*c*d*g*h*x  + b*c*f*g*h*x  + b*d*f*g*h*x  + c*d*f*g*h*x  + E*a*b*c*d*f*x  + E*a*b*c*d*g*x  + E*a*b*c*d*h*x  + E*a*b*c*f*g*x  + E*a*b*c*f*h*x  + E*a*b*c*g*h*x  + E*a*b*d*f*g*x  + E*a*b*d*f*h*x  + E*a*b*d*g*h*x  + E*a*b*f*g*h*x  + E*a*c*d*f*g*x  + E*a*c*d*f*h*x  + E*a*c*d*g*h*x  + E*a*c*f*g*h*x  + E*a*d*f*g*h*x  + E*b*c*d*f*g*x  + E*b*c*d*f*h*x  + E*b*c*d*g*h*x  + E*b*c*f*g*h*x  + E*b*d*f*g*h*x  + E*c*d*f*g*h*x  + a*b*c*d*f*g*x  + a*b*c*d*f*h*x  + a*b*c*d*g*h*x  + a*b*c*f*g*h*x  + a*b*d*f*g*h*x  + a*c*d*f*g*h*x  + b*c*d*f*g*h*x  + E*a*b*c*d*f*g*h + E*a*b*c*d*f*g*x + E*a*b*c*d*f*h*x + E*a*b*c*d*g*h*x + E*a*b*c*f*g*h*x + E*a*b*d*f*g*h*x + E*a*c*d*f*g*h*x + E*b*c*d*f*g*h*x + a*b*c*d*f*g*h*x
$$a b c d f g h x + e a b c d f g h + a b c d f g x^{2} + e a b c d f g x + a b c d f h x^{2} + e a b c d f h x + a b c d f x^{3} + e a b c d f x^{2} + a b c d g h x^{2} + e a b c d g h x + a b c d g x^{3} + e a b c d g x^{2} + a b c d h x^{3} + e a b c d h x^{2} + a b c d x^{4} + e a b c d x^{3} + a b c f g h x^{2} + e a b c f g h x + a b c f g x^{3} + e a b c f g x^{2} + a b c f h x^{3} + e a b c f h x^{2} + a b c f x^{4} + e a b c f x^{3} + a b c g h x^{3} + e a b c g h x^{2} + a b c g x^{4} + e a b c g x^{3} + a b c h x^{4} + e a b c h x^{3} + a b c x^{5} + e a b c x^{4} + a b d f g h x^{2} + e a b d f g h x + a b d f g x^{3} + e a b d f g x^{2} + a b d f h x^{3} + e a b d f h x^{2} + a b d f x^{4} + e a b d f x^{3} + a b d g h x^{3} + e a b d g h x^{2} + a b d g x^{4} + e a b d g x^{3} + a b d h x^{4} + e a b d h x^{3} + a b d x^{5} + e a b d x^{4} + a b f g h x^{3} + e a b f g h x^{2} + a b f g x^{4} + e a b f g x^{3} + a b f h x^{4} + e a b f h x^{3} + a b f x^{5} + e a b f x^{4} + a b g h x^{4} + e a b g h x^{3} + a b g x^{5} + e a b g x^{4} + a b h x^{5} + e a b h x^{4} + a b x^{6} + e a b x^{5} + a c d f g h x^{2} + e a c d f g h x + a c d f g x^{3} + e a c d f g x^{2} + a c d f h x^{3} + e a c d f h x^{2} + a c d f x^{4} + e a c d f x^{3} + a c d g h x^{3} + e a c d g h x^{2} + a c d g x^{4} + e a c d g x^{3} + a c d h x^{4} + e a c d h x^{3} + a c d x^{5} + e a c d x^{4} + a c f g h x^{3} + e a c f g h x^{2} + a c f g x^{4} + e a c f g x^{3} + a c f h x^{4} + e a c f h x^{3} + a c f x^{5} + e a c f x^{4} + a c g h x^{4} + e a c g h x^{3} + a c g x^{5} + e a c g x^{4} + a c h x^{5} + e a c h x^{4} + a c x^{6} + e a c x^{5} + a d f g h x^{3} + e a d f g h x^{2} + a d f g x^{4} + e a d f g x^{3} + a d f h x^{4} + e a d f h x^{3} + a d f x^{5} + e a d f x^{4} + a d g h x^{4} + e a d g h x^{3} + a d g x^{5} + e a d g x^{4} + a d h x^{5} + e a d h x^{4} + a d x^{6} + e a d x^{5} + a f g h x^{4} + e a f g h x^{3} + a f g x^{5} + e a f g x^{4} + a f h x^{5} + e a f h x^{4} + a f x^{6} + e a f x^{5} + a g h x^{5} + e a g h x^{4} + a g x^{6} + e a g x^{5} + a h x^{6} + e a h x^{5} + a x^{7} + e a x^{6} + b c d f g h x^{2} + e b c d f g h x + b c d f g x^{3} + e b c d f g x^{2} + b c d f h x^{3} + e b c d f h x^{2} + b c d f x^{4} + e b c d f x^{3} + b c d g h x^{3} + e b c d g h x^{2} + b c d g x^{4} + e b c d g x^{3} + b c d h x^{4} + e b c d h x^{3} + b c d x^{5} + e b c d x^{4} + b c f g h x^{3} + e b c f g h x^{2} + b c f g x^{4} + e b c f g x^{3} + b c f h x^{4} + e b c f h x^{3} + b c f x^{5} + e b c f x^{4} + b c g h x^{4} + e b c g h x^{3} + b c g x^{5} + e b c g x^{4} + b c h x^{5} + e b c h x^{4} + b c x^{6} + e b c x^{5} + b d f g h x^{3} + e b d f g h x^{2} + b d f g x^{4} + e b d f g x^{3} + b d f h x^{4} + e b d f h x^{3} + b d f x^{5} + e b d f x^{4} + b d g h x^{4} + e b d g h x^{3} + b d g x^{5} + e b d g x^{4} + b d h x^{5} + e b d h x^{4} + b d x^{6} + e b d x^{5} + b f g h x^{4} + e b f g h x^{3} + b f g x^{5} + e b f g x^{4} + b f h x^{5} + e b f h x^{4} + b f x^{6} + e b f x^{5} + b g h x^{5} + e b g h x^{4} + b g x^{6} + e b g x^{5} + b h x^{6} + e b h x^{5} + b x^{7} + e b x^{6} + c d f g h x^{3} + e c d f g h x^{2} + c d f g x^{4} + e c d f g x^{3} + c d f h x^{4} + e c d f h x^{3} + c d f x^{5} + e c d f x^{4} + c d g h x^{4} + e c d g h x^{3} + c d g x^{5} + e c d g x^{4} + c d h x^{5} + e c d h x^{4} + c d x^{6} + e c d x^{5} + c f g h x^{4} + e c f g h x^{3} + c f g x^{5} + e c f g x^{4} + c f h x^{5} + e c f h x^{4} + c f x^{6} + e c f x^{5} + c g h x^{5} + e c g h x^{4} + c g x^{6} + e c g x^{5} + c h x^{6} + e c h x^{5} + c x^{7} + e c x^{6} + d f g h x^{4} + e d f g h x^{3} + d f g x^{5} + e d f g x^{4} + d f h x^{5} + e d f h x^{4} + d f x^{6} + e d f x^{5} + d g h x^{5} + e d g h x^{4} + d g x^{6} + e d g x^{5} + d h x^{6} + e d h x^{5} + d x^{7} + e d x^{6} + f g h x^{5} + e f g h x^{4} + f g x^{6} + e f g x^{5} + f h x^{6} + e f h x^{5} + f x^{7} + e f x^{6} + g h x^{6} + e g h x^{5} + g x^{7} + e g x^{6} + h x^{7} + e h x^{6} + x^{8} + e x^{7}$$