Question

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

Answer 1

we are given

`(t^2-4t-32)/(t-8)`

we know that

denominator of any expression can not be zero

so,

`t-8 \\eq 0`

`t \\eq 8`

so, this is restriction

now, we will factor numerator

`(t^2-4t-32)/(t-8)= ((t-8)(t+4))/(t-8)`

now, we can simplify it

`(t^2-4t-32)/(t-8)= (t+4)`

so, option-C............Answer