Basic Math Examples

$2 m + 3 (m - 6) - 2 m^{2} + 3 m + 30$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 m + 3 m + 3 \cdot - 6 - 2 m^{2} + 3 m + 30$

Step 1.2

Multiply $3$ by $- 6$ .

$2 m + 3 m - 18 - 2 m^{2} + 3 m + 30$

$2 m + 3 m - 18 - 2 m^{2} + 3 m + 30$

Step 2

Simplify by adding terms.

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Step 2.1

Add $2 m$ and $3 m$ .

$5 m - 18 - 2 m^{2} + 3 m + 30$

Step 2.2

Add $5 m$ and $3 m$ .

$8 m - 18 - 2 m^{2} + 30$

Step 2.3

Simplify the expression.

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Step 2.3.1

Add $- 18$ and $30$ .

$8 m - 2 m^{2} + 12$

Step 2.3.2

Reorder $8 m$ and $- 2 m^{2}$ .

$- 2 m^{2} + 8 m + 12$

$- 2 m^{2} + 8 m + 12$

$- 2 m^{2} + 8 m + 12$

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