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Question
Verify the following:
(m + n)(m2 – mn + n2) = m3 + n3
Solution
Taking L.H.S. = (m + n)(m2 – mn + n2)
= m(m2 – mn + n2) + n(m2 – mn + n2)
= m3 – m2n + mn2 + nm2 – mn2 + n3
= m3 + n3
= R.H.S.
Hence verified.
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