Pre-Algebra Examples

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

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

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Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Remove parentheses.

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

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 $1$ .

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

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

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

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

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

Add $1$ and $1$ .

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

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

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

Multiply $3$ by $x$ .

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

Multiply $2$ by $3$ .

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

Add $3 x$ and $2 x$ .

$x^{2} + 5 x + 6$

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