Basic Math Examples

$6 m (3 m + 4) - 5 (3 m + 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 m (3 m) + 6 m \cdot 4 - 5 (3 m + 4)$

Step 1.2

Rewrite using the commutative property of multiplication.

$6 \cdot 3 m \cdot m + 6 m \cdot 4 - 5 (3 m + 4)$

Step 1.3

Multiply $4$ by $6$ .

$6 \cdot 3 m \cdot m + 24 m - 5 (3 m + 4)$

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 $m$ .

$6 \cdot 3 (m \cdot m) + 24 m - 5 (3 m + 4)$

Step 1.4.1.2

Multiply $m$ by $m$ .

$6 \cdot 3 m^{2} + 24 m - 5 (3 m + 4)$

$6 \cdot 3 m^{2} + 24 m - 5 (3 m + 4)$

Step 1.4.2

Multiply $6$ by $3$ .

$18 m^{2} + 24 m - 5 (3 m + 4)$

$18 m^{2} + 24 m - 5 (3 m + 4)$

Step 1.5

Apply the distributive property.

$18 m^{2} + 24 m - 5 (3 m) - 5 \cdot 4$

Step 1.6

Multiply $3$ by $- 5$ .

$18 m^{2} + 24 m - 15 m - 5 \cdot 4$

Step 1.7

Multiply $- 5$ by $4$ .

$18 m^{2} + 24 m - 15 m - 20$

$18 m^{2} + 24 m - 15 m - 20$

Step 2

Subtract $15 m$ from $24 m$ .

$18 m^{2} + 9 m - 20$

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