Evaluate (x+5)(x+3)

$(x + 5) (x + 3)$

Step 1

Expand $(x + 5) (x + 3)$ using the FOIL Method.

Apply the distributive property.

$x (x + 3) + 5 (x + 3)$

Apply the distributive property.

$x \cdot x + x \cdot 3 + 5 (x + 3)$

Apply the distributive property.

$x \cdot x + x \cdot 3 + 5 x + 5 \cdot 3$

$x \cdot x + x \cdot 3 + 5 x + 5 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 3 + 5 x + 5 \cdot 3$

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

$x^{2} + 3 \cdot x + 5 x + 5 \cdot 3$

Multiply $5$ by $3$ .

$x^{2} + 3 x + 5 x + 15$

$x^{2} + 3 x + 5 x + 15$

Add $3 x$ and $5 x$ .

$x^{2} + 8 x + 15$

$x^{2} + 8 x + 15$

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