(x - y)2 – 2(x - y) please help me
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0 is the answer
2x-2y-2x+2y=0
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Given:
(x - y)² - 2(x - y).
To Find:
The factors of the given expression.
Solution:
= x² - 2xy + y² - 2x + 2y.
= x² - xy - xy + y² - 2x + 2y.
= x² - xy - 2x + y² - xy + 2y.
= x (x - y -2) + y (y - x + 2).
= x (x - y - 2) - y (x - y - 2).
= (x - y)(x - y - 2).
Hence, the factors to the given expression are (x - y)and (x - y - 2).
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