Question

factorise 5-4(x-y)-12(x-y)^2​

Answer 1

5 - 4 (x - y) - 12 (x - y)²

= (1 - 2x + 2y) (5 + 6x - 6y)

Explanation:

Now, 5 - 4 (x - y) - 12 (x - y)²

= 5 - (10 - 6) (x - y) - 12 (x - y)²

= 5 - 10 (x - y) + 6 (x - y) - 12 (x - y)²

= 5 {1 - 2 (x - y)} + 6 (x - y) {1 - 2 (x - y)}

= {1 - 2 (x - y)} {5 + 6 (x - y)}

= (1 - 2x + 2y) (5 + 6x - 6y)

This is the required factorization.