Basic Math Examples

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

Step 1

Factor $- 1$ out of $- 2 m^{2} \cdot (5 m) - 3$ .

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Step 1.1

Reorder the expression.

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Step 1.1.1

Remove parentheses.

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

Step 1.1.2

Move $m^{2}$ .

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

Step 1.2

Factor $- 1$ out of $- 2 \cdot 5 m^{2} m$ .

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

Step 1.3

Rewrite $- 3$ as $- 1 (3)$ .

$- (2 \cdot 5 m^{2} m) - 1 (3)$

Step 1.4

Factor $- 1$ out of $- (2 \cdot 5 m^{2} m) - 1 (3)$ .

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

Step 2

Multiply $m^{2}$ by $m$ by adding the exponents.

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Step 2.1

Move $m$ .

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

Step 2.2

Multiply $m$ by $m^{2}$ .

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Step 2.2.1

Raise $m$ to the power of $1$ .

$- (2 \cdot 5 (m^{1} m^{2}) + 3)$

Step 2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- (2 \cdot 5 m^{1 + 2} + 3)$

Step 2.3

Add $1$ and $2$ .

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

Step 3

Multiply $2$ by $5$ .

$- (10 m^{3} + 3)$