Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

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Step 1.2.1

Multiply $5$ by $2$ .

$2 m^{2} + 10 m + 2 \cdot - 4 - 3 (2 m^{2} - m - 5)$

Step 1.2.2

Multiply $2$ by $- 4$ .

$2 m^{2} + 10 m - 8 - 3 (2 m^{2} - m - 5)$

Step 1.3

Apply the distributive property.

$2 m^{2} + 10 m - 8 - 3 (2 m^{2}) - 3 (- m) - 3 \cdot - 5$

Step 1.4

Simplify.

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Step 1.4.1

Multiply $2$ by $- 3$ .

$2 m^{2} + 10 m - 8 - 6 m^{2} - 3 (- m) - 3 \cdot - 5$

Step 1.4.2

Multiply $- 1$ by $- 3$ .

$2 m^{2} + 10 m - 8 - 6 m^{2} + 3 m - 3 \cdot - 5$

Step 1.4.3

Multiply $- 3$ by $- 5$ .

$2 m^{2} + 10 m - 8 - 6 m^{2} + 3 m + 15$

Step 2

Simplify by adding terms.

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Step 2.1

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

$- 4 m^{2} + 10 m - 8 + 3 m + 15$

Step 2.2

Add $10 m$ and $3 m$ .

$- 4 m^{2} + 13 m - 8 + 15$

Step 2.3

Add $- 8$ and $15$ .

$- 4 m^{2} + 13 m + 7$