Question

Perform the indicated operation (a+3)^2/a-3 divided by 5/(a^2-9

Answer 1

Answer:

The correct answer is (a + 3)³/5

Step-by-step explanation:

Points to remember:

1). (a + b)(a - b) = a² - b²

2). If we want to divide two fractions, we need to multiply the reciprocal of  divisor with dividend.

It is given that,

(a + 3)²/a-3  ÷ 5/(a²-9),

To find the division result

(a + 3)²/a-3  ÷ 5/(a² - 9)

Reciprocal of 5/(a² - 9) = (a² - 9)/5

(a + 3)²/a-3  ÷ 5/(a² - 9) = (a + 3)²/(a -3)  * (a² - 9)/5

(a² - 9) = (a + 3)(a - 3)          [ using identity]

(a + 3)²/(a -3)  * (a² - 9)/5 = (a + 3)²/(a -3)  * (a + 3)(a - 3) /5

= (a + 3)²(a + 3)(a - 3)/(a -3)5

=  (a + 3)²(a + 3)/5 =  (a + 3)³/5

Therefore the correct answer is (a + 3)³/5

Answer 2

Answer: (a+3)^3/5

Solution is in the pic