Solve a^2+2ab+b^2/a^2-b^2*b-a/a+b

$$\frac { a ^ { 2 } + 2 a b + b ^ { 2 } } { a ^ { 2 } - b ^ { 2 } } \times \frac { b - a } { a + b }$$

Evaluate

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Short Solution Steps

Factor the expressions that are not already factored in \frac{a^{2}+2ab+b^{2}}{a^{2}-b^{2}}.

$$\frac{\left(a+b\right)^{2}}{\left(a+b\right)\left(a-b\right)}\times \frac{b-a}{a+b}$$

Cancel out a+b in both numerator and denominator.

$$\frac{a+b}{a-b}\times \frac{b-a}{a+b}$$

Multiply \frac{a+b}{a-b} times \frac{b-a}{a+b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a+b\right)\left(b-a\right)}{\left(a-b\right)\left(a+b\right)}$$

Extract the negative sign in b-a.

$$\frac{-\left(a+b\right)\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}$$

Cancel out \left(a+b\right)\left(a-b\right) in both numerator and denominator.

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Factor

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