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Popular >

expand ((y+x)z)/(xy)

Solution

expand

\frac{( y + x ) z}{x y}

Solution

\frac{z}{x} + \frac{z}{y}

Solution steps

\frac{( y + x ) z}{x y}

Expand

(y + x) z : yz + x z

= \frac{yz + x z}{y x}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{yz + x z}{x y} = \frac{yz}{x y} + \frac{x z}{x y}

= \frac{yz}{y x} + \frac{x z}{y x}

Cancel

\frac{yz}{x y} : \frac{z}{x}

= \frac{z}{x} + \frac{x z}{y x}

Cancel

\frac{x z}{x y} : \frac{z}{y}

= \frac{z}{x} + \frac{z}{y}

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Frequently Asked Questions (FAQ)

What is expand ((y+x)z)/(xy) ?
The solution to expand ((y+x)z)/(xy) is z/x+z/y