Simplify 12a^2b+3ab^2-8a^2b-10ab^2-3a^2b+6ab^2

$12 a^{2} b + 3 a b^{2} - 8 a^{2} b - 10 a b^{2} - 3 a^{2} b + 6 a b^{2}$

Step 1

Subtract $8 a^{2} b$ from $12 a^{2} b$ .

$4 a^{2} b + 3 a b^{2} - 10 a b^{2} - 3 a^{2} b + 6 a b^{2}$

Step 2

Subtract $3 a^{2} b$ from $4 a^{2} b$ .

$1 a^{2} b + 3 a b^{2} - 10 a b^{2} + 6 a b^{2}$

Step 3

Multiply $a^{2}$ by $1$ .

$a^{2} b + 3 a b^{2} - 10 a b^{2} + 6 a b^{2}$

Step 4

Subtract $10 a b^{2}$ from $3 a b^{2}$ .

$a^{2} b - 7 a b^{2} + 6 a b^{2}$

Step 5

Add $- 7 a b^{2}$ and $6 a b^{2}$ .

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