Question

(a-b)²-5(a-b)+6
please give every step explanation for this ​

Answer 1

Step-by-step explanation:

Given:-

(a-b)²-5(a-b)+6

To find:-

Factorise (a-b)²-5(a-b)+6

Solution:-

Given expression is (a-b)²-5(a-b)+6

Let (a-b)= X then

(a-b)²=X²

It becomes X²-5X+6

=>X²-2X-3X+6

=>X(X-2)-3(X-2)

=>(X-2)(X-3)

Now Substituting X=(a-b) then

(a-b-2)(a-b-3)

Answer:-

(a-b)²-5(a-b)+6=(a-b-2)(a-b-3)

Answer 2

answer is in attachment