Question

(2a-b)2-(a-2b)2 factorial

Answer 1

Hello, we know that for a and b real numbers

$a^2-b^2=(a-b)(a+b)$

So,

$(2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}$

Thank you.