Question

$9x {}^{2} + 12xy$
factorize the following

Answer 1

$9 {x}^{2} + 12xy \\ 3x(3x + 4y)or \\ \\ {(3x)}^{2} + 2 \times 3 \times 2y + {(2y)}^{2} - ( {2y) }^{2} \\ {(3x + 2y )}^{2} - {(2y)}^{2} \\(3x + 2y - 2y)(3x + 2y + 2y) \\ 3x(3x + 4y)$