Question

Pls help me!!!!!! I don't know how to do this.

Answer 1

Answer: 10) Fourth option

Explanation:

10)
`(t^2+2t-24)/(t^2-36)`

Factor t^2 + 2t - 24

What two numbers add to 2 and multiply to -24?

6 and -4 so

(t + 6)(t - 4) is the factored form

t^2 - 36 factored is => because of a^2 - b^2 = (a - b)(a + b)

`((t + 6)(t - 4))/((t + 6)(t - 6)) = (t-4)/(t-6)`

Since we cancelled out be t + 6, t + 6 ≠ 0, t ≠ -6

And since the denominator is t - 6, t - 6 ≠ 0, t ≠ 6

`(t-4)/(t-6)` , t ≠ -6, t ≠ 6

#11 is similar, try that yourself :)