Factorize each of the following expressions: `4a^2-9b^2-2a-3b` `x^2+2x y+y^2-a^2+2a b-b^2`

Explanation

(i)`4a^2-9b^2-2a-3b`
`= (2a)^2 - (3b)^2 - 2a - 3b`
`= (2a + 3b) (2a - 3b) - (2a +3b)`
`= (2a + 3b) (2a - 3b - 1)`

(ii) `x^2+2x y+y^2-a^2+2a b-b^2`
`= [(x)^2 +(y)^2 +2(x)(y)] - [(a)^2 +(b)^2 -2(a)(b)]`
`= [x +y]^2 - [a-b]^2`
`= (x+y+a-b) (x+y - a +b)`