Basic Math Examples

$18 (- m - a) (n - 2 m)$

Step 1

Simplify by multiplying through.

Tap for more steps...

Step 1.1

Apply the distributive property.

$(18 (- m) + 18 (- a)) (n - 2 m)$

Step 1.2

Multiply.

Tap for more steps...

Step 1.2.1

Multiply $- 1$ by $18$ .

$(- 18 m + 18 (- a)) (n - 2 m)$

Step 1.2.2

Multiply $- 1$ by $18$ .

$(- 18 m - 18 a) (n - 2 m)$

Step 2

Expand $(- 18 m - 18 a) (n - 2 m)$ using the FOIL Method.

Tap for more steps...

Step 2.1

Apply the distributive property.

$- 18 m (n - 2 m) - 18 a (n - 2 m)$

Step 2.2

Apply the distributive property.

$- 18 m n - 18 m (- 2 m) - 18 a (n - 2 m)$

Step 2.3

Apply the distributive property.

$- 18 m n - 18 m (- 2 m) - 18 a n - 18 a (- 2 m)$

Step 3

Simplify terms.

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

Rewrite using the commutative property of multiplication.

$- 18 m n - 18 \cdot - 2 m \cdot m - 18 a n - 18 a (- 2 m)$

Step 3.1.2

Multiply $m$ by $m$ by adding the exponents.

Tap for more steps...

Step 3.1.2.1

Move $m$ .

$- 18 m n - 18 \cdot - 2 (m \cdot m) - 18 a n - 18 a (- 2 m)$

Step 3.1.2.2

Multiply $m$ by $m$ .

$- 18 m n - 18 \cdot - 2 m^{2} - 18 a n - 18 a (- 2 m)$

Step 3.1.3

Multiply $- 18$ by $- 2$ .

$- 18 m n + 36 m^{2} - 18 a n - 18 a (- 2 m)$

Step 3.1.4

Rewrite using the commutative property of multiplication.

$- 18 m n + 36 m^{2} - 18 a n - 18 \cdot - 2 a m$

Step 3.1.5

Multiply $- 18$ by $- 2$ .

$- 18 m n + 36 m^{2} - 18 a n + 36 a m$

Step 3.2

Reorder.

Tap for more steps...

Step 3.2.1

Move $36 m^{2}$ .

$- 18 m n - 18 a n + 36 a m + 36 m^{2}$

Step 3.2.2

Move $- 18 m n$ .

$- 18 a n + 36 a m - 18 m n + 36 m^{2}$