# How do you simplify (t^2-5t-6)/(t^2-7t+6)?

Mar 26, 2018

$\frac{t + 1}{t - 6}$

#### Explanation:

You have to factorize the top and bottom look for a factor that multiples into -6 and adds into -5

The possible factors are 6,1 and 3,2. We know that -6 and +1 add to -5 and multiply -6. Likewise the factors -6 and -1 add to -7 and multiply to 6.

((t-6)(t+1))/((t-6)(t-1)

can remove the common factor of $\left(t - 6\right)$ from denominator and numerator to get

$\frac{t + 1}{t - 6}$