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How to prove the identitiy x^3 …

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How to prove the identitiy x^3 + y^3

Posted by Harsh Raj 5 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 5 years, 3 months ago

Given, x³+y³=(x+y)(x²−xy+y²)
First take R.H.S
(x+y)(x²−xy+y²)
To multiply two polynomials, we multiply each monomial of one polynomial (with its sign) by each monomial (with its sign) of the other polynomial.
= x.x²−x²y+x.y²+y.x²−x.y²+y.y²
= x³−x²y+xy²+x²y−xy²+y³
= x³+y³
So, L.H.S = R.H.S
x3+y3=x3+y3
Hence, x3+y3=(x+y)(x2−xy+y2) is derived.

3Thank You

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