Exercise
$\left(\sqrt{\frac{x}{y}}-\sqrt{\frac{y}{x}}\right)^2$
Step-by-step Solution
Learn how to solve logarithmic equations problems step by step online. Expand the expression ((x/y)^(1/2)-(y/x)^(1/2))^2. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Multiplying the fraction by -1. Expand \left(\frac{\sqrt{x}}{\sqrt{y}}+\frac{-\sqrt{y}}{\sqrt{x}}\right)^2.
Expand the expression ((x/y)^(1/2)-(y/x)^(1/2))^2
Final answer to the exercise
$\frac{x}{y}-2+\frac{y}{x}$