What is (x-3xsqrt(x))/(sqrt(x)) ?

The solution to (x-3xsqrt(x))/(sqrt(x)) is sqrt(x)-3x

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simplify (x-3xsqrt(x))/(sqrt(x))

simplify

\frac{x - 3 x x}{x}

x - 3 x

Solution steps

\frac{x - 3 x x}{x}

Factor out common term

x : x (1 - 3 x)

= \frac{x ( 1 - 3 x )}{x}

Apply radical rule:

a = a a

x = x x

= \frac{x x ( 1 - 3 x )}{x}

Cancel the common factor:

x

= x (1 - 3 x)

Apply the distributive law:

a (b - c) = ab - a c

x (1 - 3 x) = x \cdot 1 - x \cdot 3 x

= x \cdot 1 - x \cdot 3 x

x \cdot 1 = x

- x \cdot 3 x = - 3 x

= x - 3 x

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What is (x-3xsqrt(x))/(sqrt(x)) ?
The solution to (x-3xsqrt(x))/(sqrt(x)) is sqrt(x)-3x