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Finite Math Examples

(y - 3) (y + 3)

$(y - 3) (y + 3)$

Step 1

Expand

(y - 3) (y + 3)

$(y - 3) (y + 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

y (y + 3) - 3 (y + 3)

$y (y + 3) - 3 (y + 3)$

Step 1.2

Apply the distributive property.

y \cdot y + y \cdot 3 - 3 (y + 3)

$y \cdot y + y \cdot 3 - 3 (y + 3)$

Step 1.3

Apply the distributive property.

y \cdot y + y \cdot 3 - 3 y - 3 \cdot 3

$y \cdot y + y \cdot 3 - 3 y - 3 \cdot 3$

y \cdot y + y \cdot 3 - 3 y - 3 \cdot 3

$y \cdot y + y \cdot 3 - 3 y - 3 \cdot 3$

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in

y \cdot y + y \cdot 3 - 3 y - 3 \cdot 3

$y \cdot y + y \cdot 3 - 3 y - 3 \cdot 3$ .

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Step 2.1.1

Reorder the factors in the terms

y \cdot 3

$y \cdot 3$ and

- 3 y

$- 3 y$ .

y \cdot y + 3 y - 3 y - 3 \cdot 3

$y \cdot y + 3 y - 3 y - 3 \cdot 3$

Step 2.1.2

Subtract

3 y

$3 y$ from

3 y

$3 y$ .

y \cdot y + 0 - 3 \cdot 3

$y \cdot y + 0 - 3 \cdot 3$

Step 2.1.3

Add

y \cdot y

$y \cdot y$ and

0

$0$ .

y \cdot y - 3 \cdot 3

$y \cdot y - 3 \cdot 3$

y \cdot y - 3 \cdot 3

$y \cdot y - 3 \cdot 3$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply

y

$y$ by

y

$y$ .

y^{2} - 3 \cdot 3

$y^{2} - 3 \cdot 3$

Step 2.2.2

Multiply

- 3

$- 3$ by

3

$3$ .

y^{2} - 9

$y^{2} - 9$

y^{2} - 9

$y^{2} - 9$

y^{2} - 9

$y^{2} - 9$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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