Solve 3z^2/xy+5y/xz

$$\frac { 3 z ^ { 2 } } { x y } + \frac { 5 y } { x z }$$

Evaluate

$$\frac{5y^{2}+3z^{3}}{xyz}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of xy and xz is xyz. Multiply \frac{3z^{2}}{xy} times \frac{z}{z}. Multiply \frac{5y}{xz} times \frac{y}{y}.

$$\frac{3z^{2}z}{xyz}+\frac{5yy}{xyz}$$

Since \frac{3z^{2}z}{xyz} and \frac{5yy}{xyz} have the same denominator, add them by adding their numerators.

$$\frac{3z^{2}z+5yy}{xyz}$$

Do the multiplications in 3z^{2}z+5yy.

$$\frac{3z^{3}+5y^{2}}{xyz}$$

Factor

$$\frac{5y^{2}+3z^{3}}{xyz}$$