Question

Perform the indicated operation x^2-9/x^2 x 2x^3/x^2 + 5x + 6.

Answer 1

= x^3+5x^2+6x−18 /x

Explanation:

Answer 2

• 2x(x - 3)/(x+2)

Explanation:

(x²-9)/x² × 2x³/(x² + 5x + 6)

• ⇒ a² - b² = (a+b)(a-b)
• ⇒ x²- 9= (x+3)(x -3)
• ⇒ x² + 5x + 6 = x² + 2x + 3x + 6= x(x+2) + 3(x+2) = (x+3)(x+2)

Using the above factorization in the given:

• (x²-9)/x² × 2x³/(x² + 5x + 6)=
• (x+3)(x-3) × 2x/ (x+3)(x+2) =
• 2x(x - 3)/(x+2)