Algebra Examples

$(- 4 a^{2} + 3 a b + 6 b^{2}) + (- 2 a^{2} + 2 a b - 5 b^{2})$

Step 1

Remove parentheses.

$- 4 a^{2} + 3 a b + 6 b^{2} - 2 a^{2} + 2 a b - 5 b^{2}$

Step 2

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

$- 6 a^{2} + 3 a b + 6 b^{2} + 2 a b - 5 b^{2}$

Step 3

Add $3 a b$ and $2 a b$ .

$- 6 a^{2} + 6 b^{2} + 5 a b - 5 b^{2}$

Step 4

Subtract $5 b^{2}$ from $6 b^{2}$ .

$- 6 a^{2} + b^{2} + 5 a b$