Solve 13x-156/x-12div13x-13/x+10

$$\frac { 13 x - 156 } { x - 12 } \div \frac { 13 x - 13 } { x + 10 }$$

Evaluate

$$\frac{x+10}{x-1}$$

Short Solution Steps

Divide \frac{13x-156}{x-12} by \frac{13x-13}{x+10} by multiplying \frac{13x-156}{x-12} by the reciprocal of \frac{13x-13}{x+10}.

$$\frac{\left(13x-156\right)\left(x+10\right)}{\left(x-12\right)\left(13x-13\right)}$$

Factor the expressions that are not already factored.

$$\frac{13\left(x-12\right)\left(x+10\right)}{13\left(x-12\right)\left(x-1\right)}$$

Cancel out 13\left(x-12\right) in both numerator and denominator.

$$\frac{x+10}{x-1}$$

Expand

$$\frac{x+10}{x-1}$$

Short Solution Steps

Divide \frac{13x-156}{x-12} by \frac{13x-13}{x+10} by multiplying \frac{13x-156}{x-12} by the reciprocal of \frac{13x-13}{x+10}.

$$\frac{\left(13x-156\right)\left(x+10\right)}{\left(x-12\right)\left(13x-13\right)}$$

Factor the expressions that are not already factored.

$$\frac{13\left(x-12\right)\left(x+10\right)}{13\left(x-12\right)\left(x-1\right)}$$

Cancel out 13\left(x-12\right) in both numerator and denominator.

$$\frac{x+10}{x-1}$$