Question

15(x-2y)^2-8(x-2y)-16 factorise the following:

Answer 1

Answer:

(5x-10y+4)(3x-6y-4)

Step-by-step explanation:

15(x−2y)

2

−8(x−2y)−16

let x-2y=p then,

15(x−2y)

2

−8(x−2y)−16=15p

2

−8p−16

=15p

2

+12p−20p−16

=3p(5p+4)−4(5p+4)

=(5p+4)(3p−4)

Substituting p=x-2y we get

=[5(x−2y)+4][3(x−2y)−4]

=(5x−10y+4)(3x−6y−4)