Question

Factorise this
(a-b)^2-5(a-2b)+6
ANSWER WITH STEPS PLEASE ​

Answer 1

Step-by-step explanation:

(a-b)^2–5(a-b)+6

Let (a-b)=x then,

=x^2-5x+6

=x^2–(3+2)x+6. [By factorising]

=x^2-3x-2x+6

=x(x-3)-2(x-3)

=(x-3)(x-2)

Putting the value of x then,

=(a-b-3)(a-b-2).

Therefore, answer=(a-b-3)(a-b-2).