Basic Math Examples

$- 3 (m + 1) - 7 m (3 m + 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 3 m - 3 \cdot 1 - 7 m (3 m + 3)$

Step 1.2

Multiply $- 3$ by $1$ .

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

Step 1.3

Apply the distributive property.

$- 3 m - 3 - 7 m (3 m) - 7 m \cdot 3$

Step 1.4

Rewrite using the commutative property of multiplication.

$- 3 m - 3 - 7 \cdot 3 m \cdot m - 7 m \cdot 3$

Step 1.5

Multiply $3$ by $- 7$ .

$- 3 m - 3 - 7 \cdot 3 m \cdot m - 21 m$

Step 1.6

Simplify each term.

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Step 1.6.1

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

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Step 1.6.1.1

Move $m$ .

$- 3 m - 3 - 7 \cdot 3 (m \cdot m) - 21 m$

Step 1.6.1.2

Multiply $m$ by $m$ .

$- 3 m - 3 - 7 \cdot 3 m^{2} - 21 m$

$- 3 m - 3 - 7 \cdot 3 m^{2} - 21 m$

Step 1.6.2

Multiply $- 7$ by $3$ .

$- 3 m - 3 - 21 m^{2} - 21 m$

$- 3 m - 3 - 21 m^{2} - 21 m$

$- 3 m - 3 - 21 m^{2} - 21 m$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $21 m$ from $- 3 m$ .

$- 24 m - 3 - 21 m^{2}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Move $- 3$ .

$- 24 m - 21 m^{2} - 3$

Step 2.2.2

Reorder $- 24 m$ and $- 21 m^{2}$ .

$- 21 m^{2} - 24 m - 3$

$- 21 m^{2} - 24 m - 3$

$- 21 m^{2} - 24 m - 3$

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