What is (m+n)^2*[(m+n)^2-2(m^2+n^2)] ?

The solution to (m+n)^2*[(m+n)^2-2(m^2+n^2)] is (m+n)^2(-m^2+2mn-n^2)

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simplify (m+n)^2*[(m+n)^2-2(m^2+n^2)]

simplify

(m + n)^{2} \cdot [(m + n)^{2} - 2 (m^{2} + n^{2})]

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

Solution steps

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

Expand

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

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

Expand

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

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

Simplify

m^{2} + 2 mn + n^{2} - 2 m^{2} - 2 n^{2} : - m^{2} + 2 mn - n^{2}

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

- x^{2} - 29 x - 156

o (\frac{n ^{2}}{lo g _{10} ( n )})

36 x^{3} y^{2} - 18 x^{2} y

8 (\frac{( 6 - 4 x )}{3}) + 3 x + 7

\frac{x ^{2} - 9 x + 20}{x - 5}

What is (m+n)^2*[(m+n)^2-2(m^2+n^2)] ?
The solution to (m+n)^2*[(m+n)^2-2(m^2+n^2)] is (m+n)^2(-m^2+2mn-n^2)