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

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

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

simplify

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

- mn

Solution steps

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

Expand

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

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

Expand

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

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

Add similar elements:

- n^{2} + n^{2} = 0

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

Group like terms

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

Add similar elements:

- m^{2} + m^{2} = 0

= 2 mn - 2 mn - mn

Add similar elements:

2 mn - 2 mn - mn = - mn

= - mn

a^{- n}

[(2^{3})^{4}]^{0}

8 x^{2} (a + b) - 8 x (a + b)

ln (\frac{( 2 x + 7 )}{y ^{3} + 3})

12 \frac{2}{3}

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