Solve R(x)=200x-x^2:C(x)=

$$R ( x ) = 200 x - x ^ { 2 } : C ( x ) =$$

Evaluate

$$-\frac{x^{3}}{C}+200x$$

Short Solution Steps

Express \frac{x^{2}}{C}x as a single fraction.

$$200x-\frac{x^{2}x}{C}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$200x-\frac{x^{3}}{C}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 200x times \frac{C}{C}.

$$\frac{200xC}{C}-\frac{x^{3}}{C}$$

Since \frac{200xC}{C} and \frac{x^{3}}{C} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200xC-x^{3}}{C}$$

Factor

$$\frac{x\left(200C-x^{2}\right)}{C}$$