Answer:
(2y + 3x)(2y - 3x)
Step-by-step explanation:
[tex]4 {y}^{2} - 9 {x}^{2} \\ = {(2y)}^{2} - {(3x)}^{2} \\ = (2y + 3x)(2y - 3x)[/tex]
4y² - 9x² = 2²y² - 3²x²
=(2y)² - (3x)² {a² - b² = (a+b)(a-b)}
= (2y + 3x) (2y - 3x) {here, a = 2y ; b = 3x}
