Solve -1/1.8+(-2/3*a^3)

$$- \frac { 1 } { 1.8 } + ( - \frac { 2 } { 3 } \cdot a ^ { 3 } )$$

Evaluate

$$-\frac{2a^{3}}{3}-\frac{5}{9}$$

Solution Steps

Expand \frac{1}{1.8} by multiplying both numerator and the denominator by 10.

$$-\frac{10}{18}-\frac{2}{3}a^{3}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{9}-\frac{2}{3}a^{3}$$

Factor

$$-\frac{\frac{1}{3}\left(6a^{3}+5\right)}{3}$$

Solution Steps

Expand \frac{1}{1.8} by multiplying both numerator and the denominator by 10.

$$factor(-\frac{10}{18}-\frac{2}{3}a^{3})$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$factor(-\frac{5}{9}-\frac{2}{3}a^{3})$$

Factor out \frac{1}{9}. Polynomial -5-6a^{3} is not factored since it does not have any rational roots.

$$\frac{-5-6a^{3}}{9}$$