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

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

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

simplify

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

- 2 b^{2} + 2 ab

Solution steps

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

Apply rule:

(a) = a

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

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

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

= - 2 b^{2} + 2 ab

3 y^{2} \cdot (- 2 y^{3}) + 4 y^{5}

\frac{91}{13}

\frac{- 18}{( - 9 )}

x + (x + 30) + 2 x