(m+n)(m2-mn+n2) plz say me
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Answer:
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\underline{SOLUTION}SOLUTION ➡
\begin{gathered}(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} \end{gathered}(m+n)(m2−mn+n2)=m(m2−mn+n2)+n(m2−mn+n2)=m3−m2n+mn2+m2n−mn2+n3=m3−m2n+m2n−mn2+mn2+n3=m3+n3
\boxed{(m +n )(m {}^{2} - mn + n {}^{2} ) = m {}^{3} + n {}^{3}}(m+n)(m2−mn+n2)=m3+n3
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Answer:
(m+n)(m²-mn+n²)=m³-m²n-mn²+mn²+m²n-mn²+n³
=m³+n³
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