Pre-Algebra Examples

$(x - 3) (x + 2)$

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

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Apply the distributive property.

$x (x + 2) - 3 (x + 2)$

Apply the distributive property.

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

Apply the distributive property.

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

Remove parentheses.

$x x + x \cdot 2 - 3 x - 3 \cdot 2$

Simplify and combine like terms.

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Simplify each term.

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Multiply $x$ by $x$ by adding the exponents.

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Combine $x$ and $x$

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

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

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

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

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

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

Add $1$ and $1$ .

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

Move $2$ to the left of the expression $x \cdot 2$ .

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

Multiply $2$ by $x$ .

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

Multiply $- 3$ by $2$ .

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

Subtract $3 x$ from $2 x$ .

$x^{2} - x - 6$

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