Question

Factorize the following using the formula
a2 - b2 = (a + b)(a - b)
​

Answer 1

Answer:

$=> 9x^2-4(y+2x)^2 \\\\ => 3^2x^2 - 2^2(y+2x)^2 \\\\ => (3x)^2 - [2(y+2x)]^2 \\\\ => (3x)^2 - (2y+4x)^2 \\\\ \implies a^2-b^2 =(a+b)(a-b) \\\\ a=3y,b=2y+4x \\\\ => [3x+(2y+4x)] [3x-(2y+4x)] \\\\ => (3x+2y+4x)(3x-2y-4x) \\\\ => (7x+2y)(-x-2y)$