Pre-Algebra Examples

$(y^{2} - 4 y + 9) - (3 y^{2} - 6 y - 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$y^{2} - 4 y + 9 - (3 y^{2}) - (- 6 y) - - 9$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $- 1$ .

$y^{2} - 4 y + 9 - 3 y^{2} - (- 6 y) - - 9$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$y^{2} - 4 y + 9 - 3 y^{2} + 6 y - - 9$

Step 1.2.3

Multiply $- 1$ by $- 9$ .

$y^{2} - 4 y + 9 - 3 y^{2} + 6 y + 9$

$y^{2} - 4 y + 9 - 3 y^{2} + 6 y + 9$

$y^{2} - 4 y + 9 - 3 y^{2} + 6 y + 9$

Step 2

Simplify by adding terms.

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Step 2.1

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

$- 2 y^{2} - 4 y + 9 + 6 y + 9$

Step 2.2

Add $- 4 y$ and $6 y$ .

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

Step 2.3

Add $9$ and $9$ .

$- 2 y^{2} + 2 y + 18$

$- 2 y^{2} + 2 y + 18$

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