Algebra Examples

$- 13 m + \frac{2}{5} m (25 m - 10)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 13 m + \frac{2}{5} \cdot (m (25 m) + m \cdot - 10)$

Step 1.2

Rewrite using the commutative property of multiplication.

$- 13 m + \frac{2}{5} \cdot (25 m \cdot m + m \cdot - 10)$

Step 1.3

Move $- 10$ to the left of $m$ .

$- 13 m + \frac{2}{5} \cdot (25 m \cdot m - 10 \cdot m)$

Step 1.4

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

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Step 1.4.1

Move $m$ .

$- 13 m + \frac{2}{5} \cdot (25 (m \cdot m) - 10 \cdot m)$

Step 1.4.2

Multiply $m$ by $m$ .

$- 13 m + \frac{2}{5} \cdot (25 m^{2} - 10 \cdot m)$

$- 13 m + \frac{2}{5} \cdot (25 m^{2} - 10 m)$

Step 1.5

Apply the distributive property.

$- 13 m + \frac{2}{5} (25 m^{2}) + \frac{2}{5} (- 10 m)$

Step 1.6

Cancel the common factor of $5$ .

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Step 1.6.1

Factor $5$ out of $25 m^{2}$ .

$- 13 m + \frac{2}{5} (5 (5 m^{2})) + \frac{2}{5} (- 10 m)$

Step 1.6.2

Cancel the common factor.

$- 13 m + \frac{2}{5} (5 (5 m^{2})) + \frac{2}{5} (- 10 m)$

Step 1.6.3

Rewrite the expression.

$- 13 m + 2 (5 m^{2}) + \frac{2}{5} (- 10 m)$

Step 1.7

Multiply $5$ by $2$ .

$- 13 m + 10 m^{2} + \frac{2}{5} (- 10 m)$

Step 1.8

Cancel the common factor of $5$ .

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Step 1.8.1

Factor $5$ out of $- 10 m$ .

$- 13 m + 10 m^{2} + \frac{2}{5} (5 (- 2 m))$

Step 1.8.2

Cancel the common factor.

$- 13 m + 10 m^{2} + \frac{2}{5} (5 (- 2 m))$

Step 1.8.3

Rewrite the expression.

$- 13 m + 10 m^{2} + 2 (- 2 m)$

Step 1.9

Multiply $- 2$ by $2$ .

$- 13 m + 10 m^{2} - 4 m$

Step 2

Subtract $4 m$ from $- 13 m$ .

$10 m^{2} - 17 m$