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

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

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simplify (a+b)(a-b)-(a-b)(a-b)

simplify

(a + b) (a - b) - (a - b) (a - b)

- 2 b^{2} + 2 ab

Solution steps

(a + b) (a - b) - (a - b) (a - b)

Apply exponent rule:

aa = a^{2}

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

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

Expand

(a + b) (a - b) : 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

- 8 + 16

+ 2 - 4

+ 4 - 4

+ 5 - 5

\frac{( 3 + 6 i ) ^{2}}{2 i}

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