Pre-Algebra Examples

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

Step 1

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

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Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

Step 2

Simplify terms.

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Step 2.1

Combine the opposite terms in $y \cdot y + y \cdot 3 - 3 y - 3 \cdot 3$ .

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Step 2.1.1

Reorder the factors in the terms $y \cdot 3$ and $- 3 y$ .

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

Step 2.1.2

Subtract $3 y$ from $3 y$ .

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

Step 2.1.3

Add $y \cdot y$ and $0$ .

$y \cdot y - 3 \cdot 3$

Step 2.2

Simplify each term.

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Step 2.2.1

Multiply $y$ by $y$ .

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

Step 2.2.2

Multiply $- 3$ by $3$ .

$y^{2} - 9$

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