Basic Math Examples

$(0.05 a^{3} - 0.04 a^{2} + 0.07 a) - (0.02 a^{3} + 0.06 a^{2} - 6)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$0.05 a^{3} - 0.04 a^{2} + 0.07 a - (0.02 a^{3}) - (0.06 a^{2}) - - 6$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $0.02$ by $- 1$ .

$0.05 a^{3} - 0.04 a^{2} + 0.07 a - 0.02 a^{3} - (0.06 a^{2}) - - 6$

Step 1.2.2

Multiply $0.06$ by $- 1$ .

$0.05 a^{3} - 0.04 a^{2} + 0.07 a - 0.02 a^{3} - 0.06 a^{2} - - 6$

Step 1.2.3

Multiply $- 1$ by $- 6$ .

$0.05 a^{3} - 0.04 a^{2} + 0.07 a - 0.02 a^{3} - 0.06 a^{2} + 6$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $0.02 a^{3}$ from $0.05 a^{3}$ .

$0.03 a^{3} - 0.04 a^{2} + 0.07 a - 0.06 a^{2} + 6$

Step 2.2

Subtract $0.06 a^{2}$ from $- 0.04 a^{2}$ .

$0.03 a^{3} - 0.1 a^{2} + 0.07 a + 6$