Question

PLEASE HELP! IM ALMOST DONE !

Answer 1

Answer:

D. $\frac{22x + 48}{x^2 - 36}$

Step-by-step explanation:

Given:

$\frac{15}{x - 6} + \frac{7}{x + 6}$

Required:

Find its equivalent expression

Solution:

Add both fractions

Thus,

$\frac{15}{x - 6} + \frac{7}{x + 6}$

$\frac{15(x + 6) + 7(x - 6)}{x^2 - 36}$

$\frac{15x + 90 + 7x - 42}{x^2 - 36}$

$\frac{15x + 7x + 90 - 42}{x^2 - 36}$

$\frac{22x + 48}{x^2 - 36}$

Therefore,

$\frac{15}{x - 6} + \frac{7}{x + 6} = \frac{22x + 48}{x^2 - 36}$