Simplify -5a(2b+3c)

$- 5 a (2 b + 3 c)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$- 5 a (2 b) - 5 a (3 c)$

Reorder.

Rewrite using the commutative property of multiplication.

$- 5 \cdot 2 a b - 5 a (3 c)$

Rewrite using the commutative property of multiplication.

$- 5 \cdot 2 a b - 5 \cdot 3 a c$

Step 2

Simplify each term.

Multiply $- 5$ by $2$ .

$- 10 a b - 5 \cdot 3 a c$

Multiply $- 5$ by $3$ .

$- 10 a b - 15 a c$