Question

I NEED HELP ME PLEASE!!

Answer 1

Answer:

1. The correct answer option is B.

2. The correct answer option is C.

4. The correct answer option is D.

Step-by-step explanation:

1. $\frac{3}{x^2+14x+48}$ ÷ $\frac{3}{10x+60}$

Changing division to multiplication by taking the reciprocal of the latter fraction:

$\frac{3}{x^2+14x+48} \times \frac{10x+60}{3}$

$\frac{3}{(x+6)(x+8)} \times \frac{10(x+6)}{3}$

Cancelling the like terms to get:

$\frac{10}{(x+8)}$

The correct answer option is B. $\frac{10}{(x+8)}$

2. $\frac{4x^2+36}{4x} \times \frac{1}{5x}$

Factorizing the terms and then cancelling the like terms to get:

$\frac{4(x^2+9)}{4x} \times \frac{1}{5x}$

$\frac{x^2+9}{5x^2}$

The correct answer option is C. $\frac{x^2+9}{5x^2}$.

4. $\frac{\frac{4t^2-16}{8} }{\frac{t-2}{6} }$

Changing division to multiplication by taking the reciprocal of the latter fraction:

$\frac{4t^2-16}{8} \times \frac{6}{t-2}$

$\frac{4(t-2)(t+2)}{8} \times \frac{6}{t-2}$

Cancelling the like terms to get:

$3(t+2)$

The correct answer option is D. $3(t+2)$.