What is (x/y)*((xz)/y)*((yz)/x) ?

The solution to (x/y)*((xz)/y)*((yz)/x) is (z^2x)/y

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simplify (x/y)((xz)/y)((yz)/x)

simplify

(\frac{x}{y}) \cdot (\frac{x z}{y}) \cdot (\frac{yz}{x})

\frac{z ^{2} x}{y}

Solution steps

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

Simplify

(\frac{x}{y}) (\frac{x z}{y}) (\frac{yz}{x}) : \frac{x}{y} \cdot \frac{x z}{y} \cdot \frac{yz}{x}

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

Cross-cancel common factor:

x

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

Cancel the common factor:

y

= z \frac{x z}{y}

Apply the fraction rule:

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

= \frac{z x z}{y}

Apply exponent rule:

aa = a^{2}

zz = z^{2}

= \frac{z ^{2} x}{y}

9 x = 5

- 4 x + 20 \leq 84

4 x + 4

n^{2} + 4 n

\frac{1}{\frac{1}{2} + \frac{1}{4}}

What is (x/y)*((xz)/y)*((yz)/x) ?
The solution to (x/y)*((xz)/y)*((yz)/x) is (z^2x)/y