Algebra Examples

$9 m (2 p - n + 3)$

Step 1

Apply the distributive property.

$9 m (2 p) + 9 m (- n) + 9 m \cdot 3$

Step 2

Simplify.

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Step 2.1

Rewrite using the commutative property of multiplication.

$9 \cdot 2 m p + 9 m (- n) + 9 m \cdot 3$

Step 2.2

Rewrite using the commutative property of multiplication.

$9 \cdot 2 m p + 9 \cdot - 1 m n + 9 m \cdot 3$

Step 2.3

Multiply $3$ by $9$ .

$9 \cdot 2 m p + 9 \cdot - 1 m n + 27 m$

Step 3

Simplify each term.

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Step 3.1

Multiply $9$ by $2$ .

$18 m p + 9 \cdot - 1 m n + 27 m$

Step 3.2

Multiply $9$ by $- 1$ .

$18 m p - 9 m n + 27 m$