Question

I need help ghgh:;;(((

Answer 1

Answer:

OPTION D

Step-by-step explanation:

Find the quotient:

$\frac{t^2 - 36}{3} \times \frac{t^2 + 6t}{9t}$

$t^2 - 36 = (t + 6)(t - 6)$ since it is of the form $a^2 - b^2 = (a + b)(a - b)$.

Also, $t^2 + 6t = t(t + 6)$

So, this becomes $\frac{(t + 6)(t - 6)}{3} \times \frac{9t}{(t)(t + 6)}$

Cancelling the like terms, we get:

$3(t - 6)$ = 3t - 18.

Hence, the answer is 3t - 18.