Question

Factorize : 4a2-9b2-2a-3b.

Answer 1

\[4a^2-9b^2-2a-3b\]
do you know the expansion of \(a^2-b^2\) ?

Answer 2

yes

Answer 3

(a+b)(a-b)

Answer 4

here we have
\[4a^2-9b^2-2a-3b\]
We could rewrite it as
\[(2a)^2-(3b)^2-(2a+3b)\]
do you get this part?

Answer 5

yes

Answer 6

so could you use the expansion of (a^2-b^2) to simplify this?

Answer 7

\[(2a+3b)(2a-3b)-(2a+3b)\]

Answer 8

yeah, good. Now take (2a+3b) common from all the terms, and you are done:)

Answer 9

\[2a+3b(2a-3b-1)\]

Answer 10

\[\ (2a+3b)(2a-3b-1)\]
great work:)

Answer 11

thats it???

Answer 12

yes:)