Algebra Examples

$(8 x y^{2} + 6 x^{2} y + 17 y^{2}) - (3 x^{2} y - 6 y + 3 y^{2})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$8 x y^{2} + 6 x^{2} y + 17 y^{2} - (3 x^{2} y) - (- 6 y) - (3 y^{2})$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $3$ by $- 1$ .

$8 x y^{2} + 6 x^{2} y + 17 y^{2} - 3 (x^{2} y) - (- 6 y) - (3 y^{2})$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$8 x y^{2} + 6 x^{2} y + 17 y^{2} - 3 (x^{2} y) + 6 y - (3 y^{2})$

Step 1.2.3

Multiply $3$ by $- 1$ .

$8 x y^{2} + 6 x^{2} y + 17 y^{2} - 3 (x^{2} y) + 6 y - 3 y^{2}$

$8 x y^{2} + 6 x^{2} y + 17 y^{2} - 3 x^{2} y + 6 y - 3 y^{2}$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Subtract $3 x^{2} y$ from $6 x^{2} y$ .

$8 x y^{2} + 17 y^{2} + 3 x^{2} y + 6 y - 3 y^{2}$

Step 2.2

Subtract $3 y^{2}$ from $17 y^{2}$ .

$8 x y^{2} + 14 y^{2} + 3 x^{2} y + 6 y$

Step 2.3

Simplify the expression.

Tap for more steps...

Step 2.3.1

Move $14 y^{2}$ .

$8 x y^{2} + 3 x^{2} y + 14 y^{2} + 6 y$

Step 2.3.2

Reorder $8 x y^{2}$ and $3 x^{2} y$ .

$3 x^{2} y + 8 x y^{2} + 14 y^{2} + 6 y$