Solve a^2-b^2/left(a+bright)^23a+5b/5a-5b

$$\frac{ { a }^{ 2 } - { b }^{ 2 } }{ { \left(a+b \right) }^{ 2 } } \frac{ 3a+5b }{ 5a-5b }$$

Evaluate

$$\frac{3a+5b}{5\left(a+b\right)}$$

Short Solution Steps

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

$$\frac{\left(a+b\right)\left(a-b\right)}{\left(a+b\right)^{2}}\times \frac{3a+5b}{5a-5b}$$

Cancel out a+b in both numerator and denominator.

$$\frac{a-b}{a+b}\times \frac{3a+5b}{5a-5b}$$

Multiply \frac{a-b}{a+b} times \frac{3a+5b}{5a-5b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a-b\right)\left(3a+5b\right)}{\left(a+b\right)\left(5a-5b\right)}$$

Factor the expressions that are not already factored.

$$\frac{\left(a-b\right)\left(3a+5b\right)}{5\left(a+b\right)\left(a-b\right)}$$

Cancel out a-b in both numerator and denominator.

$$\frac{3a+5b}{5\left(a+b\right)}$$

Expand the expression.

$$\frac{3a+5b}{5a+5b}$$

Expand

$$\frac{3a+5b}{5\left(a+b\right)}$$

Short Solution Steps

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

$$\frac{\left(a+b\right)\left(a-b\right)}{\left(a+b\right)^{2}}\times \frac{3a+5b}{5a-5b}$$

Cancel out a+b in both numerator and denominator.

$$\frac{a-b}{a+b}\times \frac{3a+5b}{5a-5b}$$

Multiply \frac{a-b}{a+b} times \frac{3a+5b}{5a-5b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(a-b\right)\left(3a+5b\right)}{\left(a+b\right)\left(5a-5b\right)}$$

Factor the expressions that are not already factored.

$$\frac{\left(a-b\right)\left(3a+5b\right)}{5\left(a+b\right)\left(a-b\right)}$$

Cancel out a-b in both numerator and denominator.

$$\frac{3a+5b}{5\left(a+b\right)}$$

Expand the expression.

$$\frac{3a+5b}{5a+5b}$$