Multiply the binomials:
$m^{2} - n^{2}$ and $m + n$ = $m^{3} - n^{3} + m^{2} n - m n^{2}$

True

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False

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Solution

The correct option is A True
We multiply the given binomials $(m^{2} - n^{2})$ and $(m + n)$ as shown below:

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

Hence, $(m^{2} - n^{2}) (m + n) = m^{3} - n^{3} + m^{2} n - m n^{2}$ .

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