Solve 900+31x^2-x^3/2000-600+3x

$$\frac{ 900+31 { x }^{ 2 } - { x }^{ 3 } }{ 2000 } -600+3x$$

Evaluate

$$-\frac{x^{3}}{2000}+\frac{31x^{2}}{2000}+3x-\frac{11991}{20}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -600+3x times \frac{2000}{2000}.

$$\frac{900+31x^{2}-x^{3}}{2000}+\frac{2000\left(-600+3x\right)}{2000}$$

Since \frac{900+31x^{2}-x^{3}}{2000} and \frac{2000\left(-600+3x\right)}{2000} have the same denominator, add them by adding their numerators.

$$\frac{900+31x^{2}-x^{3}+2000\left(-600+3x\right)}{2000}$$

Do the multiplications in 900+31x^{2}-x^{3}+2000\left(-600+3x\right).

$$\frac{900+31x^{2}-x^{3}-1200000+6000x}{2000}$$

Combine like terms in 900+31x^{2}-x^{3}-1200000+6000x.

$$\frac{-1199100+31x^{2}-x^{3}+6000x}{2000}$$

Expand

$$-\frac{x^{3}}{2000}+\frac{31x^{2}}{2000}+3x-\frac{11991}{20}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -600+3x times \frac{2000}{2000}.

$$\frac{900+31x^{2}-x^{3}}{2000}+\frac{2000\left(-600+3x\right)}{2000}$$

Since \frac{900+31x^{2}-x^{3}}{2000} and \frac{2000\left(-600+3x\right)}{2000} have the same denominator, add them by adding their numerators.

$$\frac{900+31x^{2}-x^{3}+2000\left(-600+3x\right)}{2000}$$

Do the multiplications in 900+31x^{2}-x^{3}+2000\left(-600+3x\right).

$$\frac{900+31x^{2}-x^{3}-1200000+6000x}{2000}$$

Combine like terms in 900+31x^{2}-x^{3}-1200000+6000x.

$$\frac{-1199100+31x^{2}-x^{3}+6000x}{2000}$$