Question

Simplify the following:- (3x+2y) square-(3x-2y) square​

Answer 1

${(3x + 2y)}^{2} - {(3x - 2y)}^{2} \\ \\ using \: identity \\ {x}^{2} - {y}^{2} = (x + y)(x - y) \\ {(3x + 2y)}^{2} - {(3x - 2y)}^{2} \\ = (3x + 2y + 3x - 2y) \times \\ (3x + 2y - (3x - 2y)) \\ = 6x \times (3x + 2y - 3x + 2y) \\ = 6x \times 4y \\ = 24xy \: \: \: \: \: \: \: \: \: ans$