Simplify 2a(4b+5)

$2 a (4 b + 5)$

Step 1

Apply the distributive property.

$2 a (4 b) + 2 a \cdot 5$

Step 2

Simplify the expression.

Rewrite using the commutative property of multiplication.

$2 \cdot 4 a b + 2 a \cdot 5$

Multiply $5$ by $2$ .

$2 \cdot 4 a b + 10 a$

Multiply $2$ by $4$ .

$8 a b + 10 a$