Pre-Algebra Examples

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

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

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Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Remove parentheses.

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

Simplify and combine like terms.

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Simplify each term.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y^{1 + 1} + y \cdot 3 + 3 y + 3 \cdot 3$

Add $1$ and $1$ .

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

Move $3$ to the left of the expression $y \cdot 3$ .

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

Multiply $3$ by $y$ .

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

Multiply $3$ by $3$ .

$y^{2} + 3 y + 3 y + 9$

Add $3 y$ and $3 y$ .

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

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