Question

factorise (x-2y)^2 - 6(x-2y)+5​

Answer 1

ANSWER

(x−2y)

2

−6(x−2y)+5

Let x−2y=z

Then,(x−2y)

2

−6(x−2y)+5 becomes

=z

2

−6z+5

=z

2

−5z−z+5

=z(z−5)−1(z−5)

=(z−5)(z−1)

Now, on subtituting z=x−2y,we get

=[(x−2y)−5][(x−2y)−1]

=(x−2y−5)(x−2y−1)