Question

factorize (3x+2)²-(2y-1)²​

Answer 1

$\sf{(3 x+2)^{2}-(2 y-1)^{2}}$

• We need to factor this expression by applying the difference of two squares rule : $\sf{x^2-y^2=\left(x+y\right)\left(x-y\right)}$

$\to\sf{\left(\left(3x+2\right)+\left(2y-1\right)\right)\left(\left(3x+2\right)-\left(2y-1\right)\right)}$

• Time to Refine !!!

$\to\sf{\left(3x+2y+1\right)\left(3x+3-2y\right)}$