Question

factorize

9x^2 + 12x + 4 - 16y​

Answer 1

Explanation:

$9x^2 +12x+4-16y$

$=[(3x)^2+2(3x)(2)+2^2]-(4y)^2$

$=(3x+2)^2-(4y)^2$ [because $a^2 +2ab+b^2 = (a+b)^2$]

$=[(3x+2)+4y][(3x+2)-4y]$  [because $a^2 - b^2 = (a+b)(a-b)$]

=$(3x+4y+2)(3x-4y+2)$

Answer: (3x+4y+2)(3x-4y+2)