Solve 138+74x-x^3/1000

$$138 + 74 x - \frac { x ^ { 3 } } { 1000 }$$

Evaluate

$$-\frac{x^{3}}{1000}+74x+138$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 138+74x times \frac{1000}{1000}.

$$\frac{1000\left(138+74x\right)}{1000}-\frac{x^{3}}{1000}$$

Since \frac{1000\left(138+74x\right)}{1000} and \frac{x^{3}}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1000\left(138+74x\right)-x^{3}}{1000}$$

Do the multiplications in 1000\left(138+74x\right)-x^{3}.

$$\frac{138000+74000x-x^{3}}{1000}$$

Factor

$$\frac{138000+74000x-x^{3}}{1000}$$

Solution Steps

Factor out \frac{1}{1000}. Polynomial 138000+74000x-x^{3} is not factored since it does not have any rational roots.

$$\frac{138000+74000x-x^{3}}{1000}$$