# How do you simplify (2t-2)/(1-t)?

Aug 2, 2016

$\frac{2 t - 2}{1 - t} = - 2$

#### Explanation:

Observe that when we take $2$ common from numerator, we are left with $t - 1$, which is exactly negative of denominator i.e. denominator is $\left(- 1\right) \left(t - 1\right)$. Hence using this

$\frac{2 t - 2}{1 - t}$

= $\frac{2 \left(t - 1\right)}{\left(- 1\right) \left(1 - t\right)}$

= $\frac{2 \cancel{\left(t - 1\right)}}{\left(- 1\right) \cancel{\left(1 - t\right)}}$

= $\frac{2}{-} 1 = - 2$