Solve a^2-b^2/b^2:a+b/b=

$$\frac { a ^ { 2 } - b ^ { 2 } } { b ^ { 2 } } : \frac { a + b } { b } =$$

Evaluate

$$\frac{a}{b}-1$$

Short Solution Steps

Divide \frac{a^{2}-b^{2}}{b^{2}} by \frac{a+b}{b} by multiplying \frac{a^{2}-b^{2}}{b^{2}} by the reciprocal of \frac{a+b}{b}.

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

Cancel out b in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

Cancel out a+b in both numerator and denominator.

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

Expand

$$\frac{a}{b}-1$$

Short Solution Steps

Divide \frac{a^{2}-b^{2}}{b^{2}} by \frac{a+b}{b} by multiplying \frac{a^{2}-b^{2}}{b^{2}} by the reciprocal of \frac{a+b}{b}.

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

Cancel out b in both numerator and denominator.

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

Factor the expressions that are not already factored.

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

Cancel out a+b in both numerator and denominator.

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