Question

Factor this expression as a difference of squares:
4-(2a+3b)^2

Answer 1

\[2^2 - (2a + 3b)^2\]Do you know the formula?

Answer 2

Well, I haven't seen problems like this a years, I just need a refresher on how to understand it properly.
It just says what it says above.

Answer 3

use the difference of squares rule

x^2 - y^2 = (x-y)(x+y)

Answer 4

use the basic formula for the diff f squares :

\[a^2-b^2=(a-b)(a+b)\]

and then substitute a for 2
and b for the expression in the bracket

Answer 5

you will then get :
\[2^2-(2a+3b)^2 = (2-[2a+3b])(2+[2a+3b])\]
\[= (2-2a-3b)(2+2a+3b)\]

Answer 6

Can you continue from there?