Basic Math Examples

$3 m (m + 5) + 5 m^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 m \cdot m + 3 m \cdot 5 + 5 m^{2}$

Step 1.2

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

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Step 1.2.1

Move $m$ .

$3 (m \cdot m) + 3 m \cdot 5 + 5 m^{2}$

Step 1.2.2

Multiply $m$ by $m$ .

$3 m^{2} + 3 m \cdot 5 + 5 m^{2}$

$3 m^{2} + 3 m \cdot 5 + 5 m^{2}$

Step 1.3

Multiply $5$ by $3$ .

$3 m^{2} + 15 m + 5 m^{2}$

$3 m^{2} + 15 m + 5 m^{2}$

Step 2

Add $3 m^{2}$ and $5 m^{2}$ .

$8 m^{2} + 15 m$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$