Question

Factorise 7+10(x-y)-8(x-y)² completely

Answer 1

Answer:

=(1+4x−6y)(7−8x+12y)

Step-by-step explanation:

ANSWER

7+10(2x−3y)−8(2x−3y)

Let 2x−3y=z

Then,7+10(2x−3y)−8(2x−3y) becomes

=7+10z−8z

=7+14z−4z−8z

=7(1+2z)−4z(1+2z)

=(1+2z)(7−4z)

Now, on substituting z=2x−3y, we get

=[(1+2(2x−3y))][7−4(2x−3y)]

=(1+4x−6y)(7−8x+12y)