Precalculus Examples

$(4 y^{2} + 9 y - 9) - (- 4 y + 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 y^{2} + 9 y - 9 - (- 4 y) - 1 \cdot 7$

Step 1.2

Multiply $- 4$ by $- 1$ .

$4 y^{2} + 9 y - 9 + 4 y - 1 \cdot 7$

Step 1.3

Multiply $- 1$ by $7$ .

$4 y^{2} + 9 y - 9 + 4 y - 7$

$4 y^{2} + 9 y - 9 + 4 y - 7$

Step 2

Simplify by adding terms.

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Step 2.1

Add $9 y$ and $4 y$ .

$4 y^{2} + 13 y - 9 - 7$

Step 2.2

Subtract $7$ from $- 9$ .

$4 y^{2} + 13 y - 16$

$4 y^{2} + 13 y - 16$

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