Question

Factor:
4y^2 – 9x^2

Answer 1

(2y + 3x)(2y - 3x)

Explanation:

`4 {y}^(2) - 9 {x}^(2) \\ = {(2y)}^(2) - {(3x)}^(2) \\ = (2y + 3x)(2y - 3x)`

Answer 2

Explanation:

4y² - 9x² = 2²y² - 3²x²

=(2y)² - (3x)² {a² - b² = (a+b)(a-b)}

= (2y + 3x) (2y - 3x) {here, a = 2y ; b = 3x}