Pre-Algebra Examples

$(y + 2) (y - 3)$

Expand $(y + 2) (y - 3)$ using the FOIL Method.

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Apply the distributive property.

$y (y - 3) + 2 (y - 3)$

Apply the distributive property.

$y y + y \cdot - 3 + 2 (y - 3)$

Apply the distributive property.

$y y + y \cdot - 3 + (2 y + 2 \cdot - 3)$

Remove parentheses.

$y y + y \cdot - 3 + 2 y + 2 \cdot - 3$

Simplify and combine like terms.

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Simplify each term.

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Multiply $y$ by $y$ by adding the exponents.

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Combine $y$ and $y$

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Raise $y$ to the power of $1$ .

$y^{1} y + y \cdot - 3 + 2 y + 2 \cdot - 3$

Raise $y$ to the power of $1$ .

$y^{1} y^{1} + y \cdot - 3 + 2 y + 2 \cdot - 3$

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

$y^{1 + 1} + y \cdot - 3 + 2 y + 2 \cdot - 3$

Add $1$ and $1$ .

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

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

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

Multiply $- 3$ by $y$ .

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

Multiply $2$ by $- 3$ .

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

Add $- 3 y$ and $2 y$ .

$y^{2} - y - 6$

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