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

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

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

simplify

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

- a^{2}

Solution steps

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

Expand

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

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

= - a^{2}

6 (- 6)

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