Question

Perform the indicated operations and chose the correct answer from the listed options.

Answer 1

Answer:

The correct answer is option C.  3

Step-by-step explanation:

It is given an expression in variable x

(x² + 3x²)/(x + 1) ÷ (x² - 9)/(3x + 3) * (x - 3)/x

To find the simplified answer

x² + 3x² = x(x + 3)

x² - 9 = (x + 3)(x - 3)

The given expression can be written as,

(x² + 3x²)/(x + 1) ÷ (x² - 9)/(3x + 3) * (x - 3)/x

 = x(x + 3)/(x + 1) * 3(x + 1)/(x + 1)(x - 1) * (x -3)/x

 =[ x(x +3) * 3(x +1) *  (x -3)]/[(x + 1) * (x + 3)(x - 3) *x]

 = 3

The correct answer is option C.  3