Basic Math Examples

$(2.7 s^{3} - 5.8 s^{2} - 2) - (5.6 s^{3} - 7.1 s^{2} + 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2.7 s^{3} - 5.8 s^{2} - 2 - (5.6 s^{3}) - (- 7.1 s^{2}) - 1 \cdot 2$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $5.6$ by $- 1$ .

$2.7 s^{3} - 5.8 s^{2} - 2 - 5.6 s^{3} - (- 7.1 s^{2}) - 1 \cdot 2$

Step 1.2.2

Multiply $- 7.1$ by $- 1$ .

$2.7 s^{3} - 5.8 s^{2} - 2 - 5.6 s^{3} + 7.1 s^{2} - 1 \cdot 2$

Step 1.2.3

Multiply $- 1$ by $2$ .

$2.7 s^{3} - 5.8 s^{2} - 2 - 5.6 s^{3} + 7.1 s^{2} - 2$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5.6 s^{3}$ from $2.7 s^{3}$ .

$- 2.9 s^{3} - 5.8 s^{2} - 2 + 7.1 s^{2} - 2$

Step 2.2

Add $- 5.8 s^{2}$ and $7.1 s^{2}$ .

$- 2.9 s^{3} + 1.3 s^{2} - 2 - 2$

Step 2.3

Subtract $2$ from $- 2$ .

$- 2.9 s^{3} + 1.3 s^{2} - 4$