Solve 2x/y^2+8x^3/3y^3

$$\frac { 2 x } { y ^ { 2 } } + \frac { 8 x ^ { 3 } } { 3 y ^ { 3 } }$$

Evaluate

$$\frac{2x\left(4x^{2}+3y\right)}{3y^{3}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of y^{2} and 3y^{3} is 3y^{3}. Multiply \frac{2x}{y^{2}} times \frac{3y}{3y}.

$$\frac{2x\times 3y}{3y^{3}}+\frac{8x^{3}}{3y^{3}}$$

Since \frac{2x\times 3y}{3y^{3}} and \frac{8x^{3}}{3y^{3}} have the same denominator, add them by adding their numerators.

$$\frac{2x\times 3y+8x^{3}}{3y^{3}}$$

Do the multiplications in 2x\times 3y+8x^{3}.

$$\frac{6xy+8x^{3}}{3y^{3}}$$

Factor

$$\frac{2x\left(4x^{2}+3y\right)}{3y^{3}}$$