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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 4 years, 1 month ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Yogita Ingle 4 years, 1 month 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.

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