Evaluate (x+3)(x+8)

$(x + 3) (x + 8)$

Step 1

Expand $(x + 3) (x + 8)$ using the FOIL Method.

Apply the distributive property.

$x (x + 8) + 3 (x + 8)$

Apply the distributive property.

$x \cdot x + x \cdot 8 + 3 (x + 8)$

Apply the distributive property.

$x \cdot x + x \cdot 8 + 3 x + 3 \cdot 8$

$x \cdot x + x \cdot 8 + 3 x + 3 \cdot 8$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 8 + 3 x + 3 \cdot 8$

Move $8$ to the left of $x$ .

$x^{2} + 8 \cdot x + 3 x + 3 \cdot 8$

Multiply $3$ by $8$ .

$x^{2} + 8 x + 3 x + 24$

$x^{2} + 8 x + 3 x + 24$

Add $8 x$ and $3 x$ .

$x^{2} + 11 x + 24$

$x^{2} + 11 x + 24$

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