# express in simplest form

• September 18th 2009, 12:58 PM
express in simplest form
2/x^2 + 2/y^2
---------------
4/xy
• September 18th 2009, 01:10 PM
e^(i*pi)
Quote:

2/x^2 + 2/y^2
---------------
4/xy

You can use latex to make your question easier to understand, Click on my representation of the question.

$\frac{\frac{2}{x^2} + \frac{2}{y^2}}{\frac{4}{xy}}$

Cross multiply to give just one denominator

Spoiler:
$\frac{2}{x^2}+\frac{2}{y^2} = \frac{2(y^2+x^2)}{x^2y^2}$

Remember when multiplying by fractions that $\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{ad}{bc}$. In other words flip the fraction and multiply.

Spoiler:
$\frac{2(y^2+x^2)}{x^2y^2} \times \frac{xy}{4}$

$xy$ will cancel as will $2$

$\frac{x^2+y^2}{2xy}$
• September 18th 2009, 01:13 PM
Plato
Quote:

$\displaystyle{\frac{{\frac{2}