Question

Simplify the rational expression. State any restrictions on the variable.

Answer 1

@Directrix

Answer 2

well can you factor the numerator...

so

\[t^2 -4t -32 = (t + factor 1)(t + factor2)\]

find the factors of 32 that add to -4.... the larger factor is negative.

and what value can't you have in the denominator...?

you need to solve

t - 8 = 0

this will give the value of t you can't have.

next look at what can be cancelled, use the factored form of the equation.