Solve (t+2)t-8/2(t+2)^2-3(t+2)-14

$$\frac { ( t + 2 ) t - 8 } { 2 ( t + 2 ) ^ { 2 } - 3 ( t + 2 ) - 14 }$$

Evaluate

$$\frac{t-2}{2t-3}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(t-2\right)\left(t+4\right)}{\left(2t-3\right)\left(t+4\right)}$$

Cancel out t+4 in both numerator and denominator.

$$\frac{t-2}{2t-3}$$

Expand

$$\frac{t-2}{2t-3}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\left(t-2\right)\left(t+4\right)}{\left(2t-3\right)\left(t+4\right)}$$

Cancel out t+4 in both numerator and denominator.

$$\frac{t-2}{2t-3}$$