Algebra Examples

$(3 a^{2} - 5 a b + b^{2}) + (- 3 a^{2} + 2 b^{2} + 8 a b)$

Step 1

Remove parentheses.

$3 a^{2} - 5 a b + b^{2} - 3 a^{2} + 2 b^{2} + 8 a b$

Step 2

Combine the opposite terms in $3 a^{2} - 5 a b + b^{2} - 3 a^{2} + 2 b^{2} + 8 a b$ .

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Step 2.1

Subtract $3 a^{2}$ from $3 a^{2}$ .

$- 5 a b + b^{2} + 0 + 2 b^{2} + 8 a b$

Step 2.2

Add $- 5 a b + b^{2}$ and $0$ .

$- 5 a b + b^{2} + 2 b^{2} + 8 a b$

Step 3

Add $- 5 a b$ and $8 a b$ .

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

Step 4

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

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