Question

$(3x + 2y) ^{2} - (3x - 2y) {}^{2}$
using algebraic expressions and identities first one mark as brain list​

Answer 1

We know:

${x}^{2} - {y}^{2} = (x + y)(x - y)$

Therefore, the given equation becomes:

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

$= 6x \times 2y$

$= 12xy$