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

Evaluate

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

Use (a + b) (a - b) = a^{2} - b^{2} to simplify the product

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

Expand the expression

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

Calculate the sum or difference

More Steps

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

Removing 0 doesn't change the value,so remove it from the expression

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

The sum of two opposites equals 0

More Steps

0 + 2 ab

Solution

2 ab

Simplify the expression