Algebra Examples

$(7 y^{2} + 3 x y - 9) - (2 y^{2} + 3 x y - 5)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$7 y^{2} + 3 x y - 9 - (2 y^{2}) - (3 x y) - - 5$

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $2$ by $- 1$ .

$7 y^{2} + 3 x y - 9 - 2 y^{2} - (3 x y) - - 5$

Step 1.2.2

Multiply $3$ by $- 1$ .

$7 y^{2} + 3 x y - 9 - 2 y^{2} - 3 (x y) - - 5$

Step 1.2.3

Multiply $- 1$ by $- 5$ .

$7 y^{2} + 3 x y - 9 - 2 y^{2} - 3 (x y) + 5$

$7 y^{2} + 3 x y - 9 - 2 y^{2} - 3 x y + 5$

$7 y^{2} + 3 x y - 9 - 2 y^{2} - 3 x y + 5$

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

Combine the opposite terms in $7 y^{2} + 3 x y - 9 - 2 y^{2} - 3 x y + 5$ .

Tap for more steps...

Step 2.1.1

Subtract $3 x y$ from $3 x y$ .

$7 y^{2} - 9 - 2 y^{2} + 0 + 5$

Step 2.1.2

Add $7 y^{2} - 9 - 2 y^{2}$ and $0$ .

$7 y^{2} - 9 - 2 y^{2} + 5$

$7 y^{2} - 9 - 2 y^{2} + 5$

Step 2.2

Subtract $2 y^{2}$ from $7 y^{2}$ .

$5 y^{2} - 9 + 5$

Step 2.3

Add $- 9$ and $5$ .

$5 y^{2} - 4$

$5 y^{2} - 4$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$