How do you simplify (t^2-4t-32)/(t-8)??

May 11, 2018

$t + 4$

Explanation:

Let's factor the numerator. What two numbers have a sum of $- 4$ and a product of $- 32$?

After some trial and error, we arrive at $- 8$ and $4$. Thus, we have

$\frac{\left(t - 8\right) \left(t + 4\right)}{t - 8}$

which can be simplified to

$\frac{\cancel{\left(t - 8\right)} \left(t + 4\right)}{\cancel{t - 8}}$

$\implies t + 4$

Hope this helps!