Question

Factorise:
(x-2y)² + 7(x-2y) + 12​

Answer 1

Step-by-step explanation:

x²+4y²-4xy+7x-14y+12

x²-4xy+4y²+7x-14y+12

(x-2y)²+7(x-2y)+12

(x-2y){x-2y+7}+12

Answer 2

Answer:

Let (x-2y) be A

Now,

(x-2y)^2 + 7(x-2y) + 12 will become:-

A^2 + 7A + 12

By middle term splitting we factorise the following,

A^2 + 7A + 12

A^2 + 4A +3A + 12

A(A+4) + 3(A+4)

(A+3) (A+4)

Putting the value of A,

(A+3) (A+4)

(x-2y+3) (x-2y+4)