Calculus Examples

$(- \frac{1}{2} x^{2} + 800 x) - (4200 + 600 x)$

Step 1

Simplify each term.

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Step 1.1

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

$- \frac{x^{2}}{2} + 800 x - (4200 + 600 x)$

Step 1.2

Apply the distributive property.

$- \frac{x^{2}}{2} + 800 x - 1 \cdot 4200 - (600 x)$

Step 1.3

Multiply $- 1$ by $4200$ .

$- \frac{x^{2}}{2} + 800 x - 4200 - (600 x)$

Step 1.4

Multiply $600$ by $- 1$ .

$- \frac{x^{2}}{2} + 800 x - 4200 - 600 x$

Step 2

Subtract $600 x$ from $800 x$ .

$- \frac{x^{2}}{2} + 200 x - 4200$