Question

simplify (m+n)(m2-mn+n2)

Answer 1

by using the identity -
a3+b3=(a+b)(a2-ab+b2),
(m+n)(m2-mn+n2)=m3+n3.

Answer 2

✍HERE IS YOUR ANSWER...⤵⤵
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$\underline{SOLUTION}$ ➡

$(m + n)(m {}^{2} - mn + n {}^{2} ) \\ \\ = m(m {}^{2} - mn + n {}^{2} ) + n(m {}^{2} - mn + n {}^{2} ) \\ \\ = m {}^{3} - m {}^{2} n + mn {}^{2} + m {}^{2} n - mn {}^{2} + n {}^{3} \\ \\ = m {}^{3} - m {}^{2} n + m {}^{2} n - mn {}^{2} + mn {}^{2} + n {}^{3} \\ \\ = m {}^{3} + n {}^{3}$

$\boxed{(m +n )(m {}^{2} - mn + n {}^{2} ) = m {}^{3} + n {}^{3}}$

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