# Divide ((x^2+2x+1)/(x^2-1))÷(2x^2+2x) Rewrite the division as a fraction.
Multiply the numerator by the reciprocal of the denominator.
Factor using the perfect square rule.
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Simplify the denominator.
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Cancel the common factor.
Rewrite the expression.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Move to the left of .
Reorder factors in .
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