# Solve ((1-1x^2)^2)/(2x+1+x^2)

## Answer

$x^2-2x+1$

## Step-by-step explanation

Problem

$\frac{\left(1-x^2\right)^2}{x^2+2x+1}$

1

The trinomial $\frac{\left(1-x^2\right)^2}{1+2x+x^2}$ is perfect square, because it's discriminant is equal to zero

$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$

## Answer

$x^2-2x+1$