Answer:
Step-by-step 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)
