Question

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

Answer 1

Answer: 10) Fourth option

Step-by-step explanation:

10) $\frac{t^2+2t-24}{t^2-36}$

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)

$\frac{(t + 6)(t - 4)}{(t + 6)(t - 6)} = \frac{t-4}{t-6}$

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

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

$\frac{t-4}{t-6}$ , t ≠ -6, t ≠ 6

#11 is similar, try that yourself :)