What is (sqrt(x)(sqrt(x)-1))/(x-1) ?

The solution to (sqrt(x)(sqrt(x)-1))/(x-1) is (x-sqrt(x))/(x-1)

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simplify (sqrt(x)(sqrt(x)-1))/(x-1)

simplify

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

\frac{x - x}{x - 1}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

= \frac{x x - x \cdot 1}{x - 1}

Simplify

x x - x \cdot 1 : x - x

= \frac{x - x}{x - 1}

(x + i) (x - 8 + i) (x - 8 - i)

4 sin (\frac{π}{4})

\frac{( x ^{3} - 1 ) ( x ^{3} - x ^{2} + 1 )}{x ^{5} + x + 1}

\frac{13 ( s + 2 )}{s ( s + 8 ) ( s + 1 )}

\frac{12.9282 ( 0.25 x ^{2} - 1 )}{2 + 0.44758 x ^{2}}

What is (sqrt(x)(sqrt(x)-1))/(x-1) ?
The solution to (sqrt(x)(sqrt(x)-1))/(x-1) is (x-sqrt(x))/(x-1)