Solve 20/3x^1/3-10/5x^2/3

$$\frac { 20 } { 3 } x ^ { 1 / 3 } - \frac { 10 } { 5 } x ^ { 2 / 3 }$$

Factor

$$\frac{2\sqrt[3]{x}\left(-3\sqrt[3]{x}+10\right)}{3}$$

Solution Steps

Factor out \frac{2}{3}.

$$\frac{2\left(10\sqrt[3]{x}-3x^{\frac{2}{3}}\right)}{3}$$

Consider 10\sqrt[3]{x}-3x^{\frac{2}{3}}. Factor out \sqrt[3]{x}.

$$\sqrt[3]{x}\left(10-3\sqrt[3]{x}\right)$$

Rewrite the complete factored expression.

$$\frac{2\sqrt[3]{x}\left(10-3\sqrt[3]{x}\right)}{3}$$

Evaluate

$$-2x^{\frac{2}{3}}+\frac{20\sqrt[3]{x}}{3}$$

Solution Steps

Divide 10 by 5 to get 2.

$$\frac{20}{3}x^{\frac{1}{3}}-2x^{\frac{2}{3}}$$