Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Combine the opposite terms in $a^{2} - 2 a b + b^{2} + 2 a^{2} + 2 a b + b^{2}$ .

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Step 2.1

Add $- 2 a b$ and $2 a b$ .

$a^{2} + b^{2} + 2 a^{2} + 0 + b^{2}$

Step 2.2

Add $a^{2} + b^{2} + 2 a^{2}$ and $0$ .

$a^{2} + b^{2} + 2 a^{2} + b^{2}$

Step 3

Add $a^{2}$ and $2 a^{2}$ .

$3 a^{2} + b^{2} + b^{2}$

Step 4

Add $b^{2}$ and $b^{2}$ .

$3 a^{2} + 2 b^{2}$