Basic Math Examples

$2 m (3 m + 4) - 3 m (m - 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 m (3 m) + 2 m \cdot 4 - 3 m (m - 7)$

Step 1.2

Rewrite using the commutative property of multiplication.

$2 \cdot 3 m \cdot m + 2 m \cdot 4 - 3 m (m - 7)$

Step 1.3

Multiply $4$ by $2$ .

$2 \cdot 3 m \cdot m + 8 m - 3 m (m - 7)$

Step 1.4

Simplify each term.

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Step 1.4.1

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

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Step 1.4.1.1

Move $m$ .

$2 \cdot 3 (m \cdot m) + 8 m - 3 m (m - 7)$

Step 1.4.1.2

Multiply $m$ by $m$ .

$2 \cdot 3 m^{2} + 8 m - 3 m (m - 7)$

$2 \cdot 3 m^{2} + 8 m - 3 m (m - 7)$

Step 1.4.2

Multiply $2$ by $3$ .

$6 m^{2} + 8 m - 3 m (m - 7)$

$6 m^{2} + 8 m - 3 m (m - 7)$

Step 1.5

Apply the distributive property.

$6 m^{2} + 8 m - 3 m \cdot m - 3 m \cdot - 7$

Step 1.6

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

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Step 1.6.1

Move $m$ .

$6 m^{2} + 8 m - 3 (m \cdot m) - 3 m \cdot - 7$

Step 1.6.2

Multiply $m$ by $m$ .

$6 m^{2} + 8 m - 3 m^{2} - 3 m \cdot - 7$

$6 m^{2} + 8 m - 3 m^{2} - 3 m \cdot - 7$

Step 1.7

Multiply $- 7$ by $- 3$ .

$6 m^{2} + 8 m - 3 m^{2} + 21 m$

$6 m^{2} + 8 m - 3 m^{2} + 21 m$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $3 m^{2}$ from $6 m^{2}$ .

$3 m^{2} + 8 m + 21 m$

Step 2.2

Add $8 m$ and $21 m$ .

$3 m^{2} + 29 m$

$3 m^{2} + 29 m$

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