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

### Videos

$x^2-2x+1$

## 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

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

$x^2-2x+1$