What is expand (m^2+mn+n^2)(m-n) ?

The solution to expand (m^2+mn+n^2)(m-n) is m^3-n^3

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expand (m^2+mn+n^2)(m-n)

expand

(m^{2} + mn + n^{2}) (m - n)

m^{3} - n^{3}

Solution steps

(m^{2} + mn + n^{2}) (m - n)

Distribute parentheses

= m^{2} m + m^{2} (- n) + mnm + mn (- n) + n^{2} m + n^{2} (- n)

Simplify

m^{2} m + m^{2} (- n) + mnm + mn (- n) + n^{2} m + n^{2} (- n) : m^{3} - n^{3}

= m^{3} - n^{3}

e^{- l n (x) + c}

\frac{20}{90}

\frac{( x ^{3} - x ^{2} - 5 x - 3 )}{( x ^{2} + 2 x + 1 )}

2 (x + y)^{2}

\frac{20}{11}

What is expand (m^2+mn+n^2)(m-n) ?
The solution to expand (m^2+mn+n^2)(m-n) is m^3-n^3