Find the Product (x+2)(x+3)

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

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

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

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $3$ to the left of $x$ .

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

Multiply $2$ by $3$ .

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

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

Add $3 x$ and $2 x$ .

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

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

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