Question

9x²-(2x-3y)² factorize this

Answer 1

Answer:

$9 {x}^{2} - {(2x - 3y)}^{2} \\ = 9 {x}^{2} - 2 {x}^{2} + 3 {y}^{2} \\ =7 {x}^{2} + 3 {y}^{2} \\ (Use \: \: ( {a}^{2} + {b}^{2} = {a}^{2} + {b}^{2} + 2ab)\: \:formula) \\ = 7 {x}^{2} + 3 {y}^{2} + 2(7x)(3y) \\ = \large{ \boxed{ \underline{ \underline{7 {x}^{2} + 3 {y}^{2} + 42xy }}}}$