What is (m+n)(m-n)+3n(m-n) ?

The solution to (m+n)(m-n)+3n(m-n) is m^2-4n^2+3mn

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simplify (m+n)(m-n)+3n(m-n)

simplify

(m + n) (m - n) + 3 n (m - n)

m^{2} - 4 n^{2} + 3 mn

Solution steps

(m + n) (m - n) + 3 n (m - n)

Expand

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

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

Expand

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

= m^{2} - n^{2} + 3 mn - 3 n^{2}

Group like terms

= m^{2} - n^{2} - 3 n^{2} + 3 mn

Add similar elements:

- n^{2} - 3 n^{2} = - 4 n^{2}

= m^{2} - 4 n^{2} + 3 mn

(h + x)^{3}

\frac{5 3}{5}

(3 + 2 i) \cdot (3 - 2 i)

(3 x + 2 y) - (- 5 y + x)