Solve 2c^2+2cd-60d^2/2c^2-12cd+10d^2

$$\frac { 2 c ^ { 2 } + 2 c d - 60 d ^ { 2 } } { 2 c ^ { 2 } - 12 c d + 10 d ^ { 2 } }$$

Evaluate

$$\frac{c+6d}{c-d}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\left(c-5d\right)\left(c+6d\right)}{2\left(c-5d\right)\left(c-d\right)}$$

Cancel out 2\left(c-5d\right) in both numerator and denominator.

$$\frac{c+6d}{c-d}$$

Expand

$$-\frac{c+6d}{d-c}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{2\left(c-5d\right)\left(c+6d\right)}{2\left(c-5d\right)\left(c-d\right)}$$

Cancel out 2\left(c-5d\right) in both numerator and denominator.

$$\frac{c+6d}{c-d}$$