Calculus Examples

$500 x - \frac{1}{10} x^{2} - (144000 + 80 x)$

Step 1

Simplify each term.

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Step 1.1

Combine $x^{2}$ and $\frac{1}{10}$ .

$500 x - \frac{x^{2}}{10} - (144000 + 80 x)$

Step 1.2

Apply the distributive property.

$500 x - \frac{x^{2}}{10} - 1 \cdot 144000 - (80 x)$

Step 1.3

Multiply $- 1$ by $144000$ .

$500 x - \frac{x^{2}}{10} - 144000 - (80 x)$

Step 1.4

Multiply $80$ by $- 1$ .

$500 x - \frac{x^{2}}{10} - 144000 - 80 x$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $80 x$ from $500 x$ .

$420 x - \frac{x^{2}}{10} - 144000$

Step 2.2

Reorder $420 x$ and $- \frac{x^{2}}{10}$ .

$- \frac{x^{2}}{10} + 420 x - 144000$