What is (a-b)^2-(a+b)^2 ?

The solution to (a-b)^2-(a+b)^2 is -4ab

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simplify (a-b)^2-(a+b)^2

simplify

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

- 4 ab

Solution steps

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

Expand

(a - b)^{2} : a^{2} - 2 ab + b^{2}

= a^{2} - 2 ab + b^{2} - (a + b)^{2}

Expand

- (a + b)^{2} : - a^{2} - 2 ab - b^{2}

= a^{2} - 2 ab + b^{2} - a^{2} - 2 ab - b^{2}

Group like terms

= a^{2} - a^{2} - 2 ab - 2 ab + b^{2} - b^{2}

Add similar elements:

a^{2} - a^{2} = 0

= - 2 ab - 2 ab + b^{2} - b^{2}

Add similar elements:

- 2 ab - 2 ab = - 4 ab

= - 4 ab + b^{2} - b^{2}

Add similar elements:

b^{2} - b^{2} = 0

= - 4 ab

\frac{7}{40}

(y - 2) (y + 1)

\frac{9}{4} + \frac{3}{2} \cdot \frac{1}{3}

\frac{3 2}{2 3}

\frac{3}{2} \cdot 10