Pre-Algebra Examples

$(a^{2} - 3 a b + 2 b^{2}) + (- 4 a^{2} + 5 a b - b^{2})$

Step 1

Remove parentheses.

$a^{2} - 3 a b + 2 b^{2} - 4 a^{2} + 5 a b - b^{2}$

Step 2

Subtract $4 a^{2}$ from $a^{2}$ .

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

Step 3

Add $- 3 a b$ and $5 a b$ .

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

Step 4

Subtract $b^{2}$ from $2 b^{2}$ .

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