Finite Math Examples

$m (m + 4) (m - 6)$

Step 1

Simplify by multiplying through.

Tap for more steps...

Step 1.1

Apply the distributive property.

$(m \cdot m + m \cdot 4) (m - 6)$

Step 1.2

Simplify the expression.

Tap for more steps...

Step 1.2.1

Multiply $m$ by $m$ .

$(m^{2} + m \cdot 4) (m - 6)$

Step 1.2.2

Move $4$ to the left of $m$ .

$(m^{2} + 4 \cdot m) (m - 6)$

Step 2

Expand $(m^{2} + 4 m) (m - 6)$ using the FOIL Method.

Tap for more steps...

Step 2.1

Apply the distributive property.

$m^{2} (m - 6) + 4 m (m - 6)$

Step 2.2

Apply the distributive property.

$m^{2} m + m^{2} \cdot - 6 + 4 m (m - 6)$

Step 2.3

Apply the distributive property.

$m^{2} m + m^{2} \cdot - 6 + 4 m \cdot m + 4 m \cdot - 6$

Step 3

Simplify and combine like terms.

Tap for more steps...

Step 3.1

Simplify each term.

Tap for more steps...

Step 3.1.1

Multiply $m^{2}$ by $m$ by adding the exponents.

Tap for more steps...

Step 3.1.1.1

Multiply $m^{2}$ by $m$ .

Tap for more steps...

Step 3.1.1.1.1

Raise $m$ to the power of $1$ .

$m^{2} m^{1} + m^{2} \cdot - 6 + 4 m \cdot m + 4 m \cdot - 6$

Step 3.1.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$m^{2 + 1} + m^{2} \cdot - 6 + 4 m \cdot m + 4 m \cdot - 6$

Step 3.1.1.2

Add $2$ and $1$ .

$m^{3} + m^{2} \cdot - 6 + 4 m \cdot m + 4 m \cdot - 6$

Step 3.1.2

Move $- 6$ to the left of $m^{2}$ .

$m^{3} - 6 \cdot m^{2} + 4 m \cdot m + 4 m \cdot - 6$

Step 3.1.3

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

Tap for more steps...

Step 3.1.3.1

Move $m$ .

$m^{3} - 6 m^{2} + 4 (m \cdot m) + 4 m \cdot - 6$

Step 3.1.3.2

Multiply $m$ by $m$ .

$m^{3} - 6 m^{2} + 4 m^{2} + 4 m \cdot - 6$

Step 3.1.4

Multiply $- 6$ by $4$ .

$m^{3} - 6 m^{2} + 4 m^{2} - 24 m$

Step 3.2

Add $- 6 m^{2}$ and $4 m^{2}$ .

$m^{3} - 2 m^{2} - 24 m$