What is factor (m-n)^2-(m+n)^2 ?

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

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factor (m-n)^2-(m+n)^2

factor

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

- 4 mn

Solution steps

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

= ((m - n) + (m + n)) ((m - n) - (m + n))

Simplify

((m - n) + (m + n)) ((m - n) - (m + n)) : - 4 mn

= - 4 mn

(3 a + 2 b^{2})^{2}

2 \frac{2}{2}

\frac{1}{66}

\frac{6}{5} \cdot \frac{4}{5}

(2 m + 5)^{2}