Solve -x/9+8x^3-1

$$- \frac { x } { 9 } + 8 x ^ { 3 } - 1$$

Evaluate

$$8x^{3}-\frac{x}{9}-1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 8x^{3}-1 times \frac{9}{9}.

$$-\frac{x}{9}+\frac{9\left(8x^{3}-1\right)}{9}$$

Since -\frac{x}{9} and \frac{9\left(8x^{3}-1\right)}{9} have the same denominator, add them by adding their numerators.

$$\frac{-x+9\left(8x^{3}-1\right)}{9}$$

Do the multiplications in -x+9\left(8x^{3}-1\right).

$$\frac{-x+72x^{3}-9}{9}$$

Factor

$$\frac{72x^{3}-x-9}{9}$$

Solution Steps

Factor out \frac{1}{9}. Polynomial -x+72x^{3}-9 is not factored since it does not have any rational roots.

$$\frac{-x+72x^{3}-9}{9}$$