Question

@ganeshie8

Answer 1

Simplify the rational expression State any restrictions on the variable

Answer 2

Any ideas?

Answer 3

\[\huge \frac{ t^2-4t-32 }{ t-8 }\]

Well first thing you want to do is factor out the top, by finding two numbers whos product is -32 and and sum is -4.

The two numbers are 4 and -8.

So,

\[\huge t^2-4t-32 = (t+4)(t-8)\]

Now we have,

\[\huge \frac{ (t+4)(t-8) }{ t-8 }\]

We can cancel out the t-8 terms, so we are left with t+4, so your answer is t+4, and we look back at the original function to see any restrictions. Looking at the denominator we can see \[t \neq 8\]

Answer 4

thanks bat.

Answer 5

Np