Question

factorize 5(a+2b)^2 - 7(a+2b) + 2

Answer 1

let (a+2b)=z
5z²-7z+2

5z²-5z-2z+2

5z(z-1)-2(z-1)

(5z-2)(z-1)

(5a+10b-2)(a+2b-1)

Answer 2

Let a+2b=x
So the equation become
5x²-7x+2
By spilting this we will get
5x²-5x-2x+2
Taking common
5x(x-1)-2(x-1)
(5x-2)(x-1)