What is expand (m-n)^4-5(m-n)^2 ?

The solution to expand (m-n)^4-5(m-n)^2 is m^4-4m^3n+6m^2n^2-4mn^3+n^4-5m^2+10mn-5n^2

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expand (m-n)^4-5(m-n)^2

expand

(m - n)^{4} - 5 (m - n)^{2}

m^{4} - 4 m^{3} n + 6 m^{2} n^{2} - 4 m n^{3} + n^{4} - 5 m^{2} + 10 mn - 5 n^{2}

Solution steps

(m - n)^{4} - 5 (m - n)^{2}

Expand

(m - n)^{4} : m^{4} - 4 m^{3} n + 6 m^{2} n^{2} - 4 m n^{3} + n^{4}

= m^{4} - 4 m^{3} n + 6 m^{2} n^{2} - 4 m n^{3} + n^{4} - 5 (m - n)^{2}

Expand

- 5 (m - n)^{2} : - 5 m^{2} + 10 mn - 5 n^{2}

= m^{4} - 4 m^{3} n + 6 m^{2} n^{2} - 4 m n^{3} + n^{4} - 5 m^{2} + 10 mn - 5 n^{2}

2 x + 2 y - x^{2} - x y

2 x^{2} - 11 x y + 15 y^{2}

(1.5 x^{2} y) \cdot (- 0.3 x y^{2})

9 x^{2} y^{2} (- 16 x^{2} y^{3})

\frac{sin ^{2} ( x )}{cos ( x ) - 1 + cos ( x )}

What is expand (m-n)^4-5(m-n)^2 ?
The solution to expand (m-n)^4-5(m-n)^2 is m^4-4m^3n+6m^2n^2-4mn^3+n^4-5m^2+10mn-5n^2