Solve 8xy/x^2+8/y

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

Evaluate

$$\frac{8\left(x+y^{2}\right)}{xy}$$

Short Solution Steps

Cancel out x in both numerator and denominator.

$$\frac{8y}{x}+\frac{8}{y}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and y is xy. Multiply \frac{8y}{x} times \frac{y}{y}. Multiply \frac{8}{y} times \frac{x}{x}.

$$\frac{8yy}{xy}+\frac{8x}{xy}$$

Since \frac{8yy}{xy} and \frac{8x}{xy} have the same denominator, add them by adding their numerators.

$$\frac{8yy+8x}{xy}$$

Do the multiplications in 8yy+8x.

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

Factor

$$\frac{8\left(\frac{y^{2}}{x}+1\right)}{y}$$