Calculus Examples

$(71.8 x - 0.02 x^{2}) - (0.07 x^{2} + 4.1 x + 6800)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$71.8 x - 0.02 x^{2} - (0.07 x^{2}) - (4.1 x) - 1 \cdot 6800$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $0.07$ by $- 1$ .

$71.8 x - 0.02 x^{2} - 0.07 x^{2} - (4.1 x) - 1 \cdot 6800$

Step 1.2.2

Multiply $4.1$ by $- 1$ .

$71.8 x - 0.02 x^{2} - 0.07 x^{2} - 4.1 x - 1 \cdot 6800$

Step 1.2.3

Multiply $- 1$ by $6800$ .

$71.8 x - 0.02 x^{2} - 0.07 x^{2} - 4.1 x - 6800$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4.1 x$ from $71.8 x$ .

$- 0.02 x^{2} - 0.07 x^{2} + 67.7 x - 6800$

Step 2.2

Subtract $0.07 x^{2}$ from $- 0.02 x^{2}$ .

$- 0.09 x^{2} + 67.7 x - 6800$