Question

$\frac{x {}^{3} + 4x {}^{2} + 4x }{x + 2}$
​

Answer 1

Ответ: $x^2+2x$

Объяснение:

$\frac{x^3+4x^2+4x}{x+2} = \frac{x(x^2+4x+4)}{x+2} = \frac{x(x^2+2\cdot2\cdot x+2^2)}{x+2} = \frac{x(x+2)^2}{x+2} = x(x+2) = x^2+2x$