Basic Math Examples

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

Step 1

Expand $(2 m^{2} + 4) (m - 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

Apply the distributive property.

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

Step 2

Simplify each term.

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Step 2.1

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

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Step 2.1.1

Move $m$ .

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

Step 2.1.2

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

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Step 2.1.2.1

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

$2 (m^{1} m^{2}) + 2 m^{2} \cdot - 3 + 4 m + 4 \cdot - 3$

Step 2.1.2.2

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

$2 m^{1 + 2} + 2 m^{2} \cdot - 3 + 4 m + 4 \cdot - 3$

Step 2.1.3

Add $1$ and $2$ .

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

Step 2.2

Multiply $- 3$ by $2$ .

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

Step 2.3

Multiply $4$ by $- 3$ .

$2 m^{3} - 6 m^{2} + 4 m - 12$