Finite Math Examples

$(9 x^{2} y - 4 x y + 4 x y^{2}) - (3 x^{2} y + 4 x y + 2 x y^{2})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$9 x^{2} y - 4 x y + 4 x y^{2} - (3 x^{2} y) - (4 x y) - (2 x y^{2})$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $3$ by $- 1$ .

$9 x^{2} y - 4 x y + 4 x y^{2} - 3 (x^{2} y) - (4 x y) - (2 x y^{2})$

Step 1.2.2

Multiply $4$ by $- 1$ .

$9 x^{2} y - 4 x y + 4 x y^{2} - 3 (x^{2} y) - 4 (x y) - (2 x y^{2})$

Step 1.2.3

Multiply $2$ by $- 1$ .

$9 x^{2} y - 4 x y + 4 x y^{2} - 3 (x^{2} y) - 4 (x y) - 2 (x y^{2})$

Step 1.3

Remove parentheses.

$9 x^{2} y - 4 x y + 4 x y^{2} - 3 x^{2} y - 4 x y - 2 x y^{2}$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $3 x^{2} y$ from $9 x^{2} y$ .

$6 x^{2} y - 4 x y + 4 x y^{2} - 4 x y - 2 x y^{2}$

Step 2.2

Subtract $4 x y$ from $- 4 x y$ .

$6 x^{2} y - 8 x y + 4 x y^{2} - 2 x y^{2}$

Step 2.3

Subtract $2 x y^{2}$ from $4 x y^{2}$ .

$6 x^{2} y - 8 x y + 2 x y^{2}$