Solve 1/x^2-36div1/(x+6)^2=

$$\frac { 1 } { x ^ { 2 } - 36 } \div \frac { 1 } { ( x + 6 ) ^ { 2 } } =$$

Evaluate

$$\frac{x+6}{x-6}$$

Short Solution Steps

Divide \frac{1}{x^{2}-36} by \frac{1}{\left(x+6\right)^{2}} by multiplying \frac{1}{x^{2}-36} by the reciprocal of \frac{1}{\left(x+6\right)^{2}}.

$$\frac{\left(x+6\right)^{2}}{x^{2}-36}$$

Factor the expressions that are not already factored.

$$\frac{\left(x+6\right)^{2}}{\left(x-6\right)\left(x+6\right)}$$

Cancel out x+6 in both numerator and denominator.

$$\frac{x+6}{x-6}$$

Expand

$$\frac{x+6}{x-6}$$

Short Solution Steps

Divide \frac{1}{x^{2}-36} by \frac{1}{\left(x+6\right)^{2}} by multiplying \frac{1}{x^{2}-36} by the reciprocal of \frac{1}{\left(x+6\right)^{2}}.

$$\frac{\left(x+6\right)^{2}}{x^{2}-36}$$

Factor the expressions that are not already factored.

$$\frac{\left(x+6\right)^{2}}{\left(x-6\right)\left(x+6\right)}$$

Cancel out x+6 in both numerator and denominator.

$$\frac{x+6}{x-6}$$