Question

m²+n²+2nm-m-n group​

Answer 1

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Secondary School Math 5 points

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

Ask for details Follow Report by Yashaswininagireddi 12.12.2018

Answers

ParthLele

ParthLele Expert

By using the identity -

a3+b3=(a+b)(a2-ab+b2),

(m+n)(m2-mn+n2)=m3+n3.

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TRISHNADEVI

TRISHNADEVI Genius

✍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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