Question

Perform the indicated operation and simplify

Answer 1

Answer:

3a

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2(a-2)

Step-by-step explanation:

3a+6          a^2 -4

----------- ÷ -----------

8                       4a

Copy dot flip

3a+6          4a

----------- * -----------

8                 a^2 -4

Factor

3(a+2)          4a

----------- * -----------

8                 (a-2) (a+2)

Cancel like terms

3             a

----------- * -----------

2                 (a-2)

3a

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2(a-2)

Answer 2

Answer:

A

Step-by-step explanation:

$\frac{3a+6}{8}$ ÷$\frac{a^{2} -4}{4a}$ = $\frac{3(a+2)}{8}$*$\frac{4a}{(a+2)(a-2)}$

take out (a+2) and 4

$\frac{3}{2}$*$\frac{a}{(a-2)}$= $\frac{3a}{2(a-2)}$