Solve C(x)=x^3/3000+200

$$C ( x ) = \frac { x ^ { 3 } } { 3000 } + 200$$

Evaluate

$$\frac{x^{3}}{3000}+200$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 200 times \frac{3000}{3000}.

$$\frac{x^{3}}{3000}+\frac{200\times 3000}{3000}$$

Since \frac{x^{3}}{3000} and \frac{200\times 3000}{3000} have the same denominator, add them by adding their numerators.

$$\frac{x^{3}+200\times 3000}{3000}$$

Do the multiplications in x^{3}+200\times 3000.

$$\frac{x^{3}+600000}{3000}$$

Factor

$$\frac{x^{3}+600000}{3000}$$

Solution Steps

Factor out \frac{1}{3000}. Polynomial x^{3}+600000 is not factored since it does not have any rational roots.

$$\frac{x^{3}+600000}{3000}$$