Final Answer
Step-by-step Solution
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The trinomial $x^2+2x+1$ is a perfect square trinomial, because it's discriminant is equal to zero
Using the perfect square trinomial formula
Factoring the perfect square trinomial
The power of a product is equal to the product of it's factors raised to the same power
Simplify the fraction $\frac{\left(1+x\right)^2\left(1-x\right)^2}{\left(x+1\right)^{2}}$ by $\left(1+x\right)^2$