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Verify-x3+y3=(x+y)(x2-xy+y2)

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Verify-x3+y3=(x+y)(x2-xy+y2)

Posted by Simi Sudheesh Mundattill 6 years, 5 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 6 years, 5 months ago

We know that
(x - y)3 = x³ - y³ - 3xy(x - y)|
Using Identity VII
⇒ x³- y³ = (x - y)³ + 3xy(x - y)
x³ - y³= (x - y){(x - y)² + 3xy}
⇒ x³ - y³= (x - y)(x² - 2xy + y² + 3xy)|
⇒ x³+ y³=(x+y)(x²-xy+y2)

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CBSE > Class 09 > Mathematics