Simplify (a+8)(b+3)

$(a + 8) (b + 3)$

Step 1

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

Apply the distributive property.

$a (b + 3) + 8 (b + 3)$

Apply the distributive property.

$a b + a \cdot 3 + 8 (b + 3)$

Apply the distributive property.

$a b + a \cdot 3 + 8 b + 8 \cdot 3$

$a b + a \cdot 3 + 8 b + 8 \cdot 3$

Step 2

Simplify each term.

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

$a b + 3 \cdot a + 8 b + 8 \cdot 3$

Multiply $8$ by $3$ .

$a b + 3 a + 8 b + 24$

$a b + 3 a + 8 b + 24$

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