Question

factorise (x-y)²-4(x-y)​

Answer 1

Step-by-step explanation:

(x-y) (x-y) -4(x-y)

(x-y) (x-y-4)

Answer 2

Given:

(x-y)²-4(x-y)​

To Find:

The value of the given expression.

Solution:

Expanding the given expression,

x² - 2xy + y² - 4x + 4y.

x² - 4x - xy + y² + 4y - xy.

x(x - 4 - y) + y(y + 4 - x).

x(x - y - 4) - y(x - y - 4).

(x - y)(x - y - 4).

Hence, the factors of the given expression is (x - y)(x - y - 4).