(x-y)² - 4(x-y)

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Preeti Dabral 2 years, 11 months ago
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).
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