What is expand (x-1)/(xsqrt(2x)) ?

The solution to expand (x-1)/(xsqrt(2x)) is (sqrt(2)(x-1))/(2x^{3/2)}

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expand (x-1)/(xsqrt(2x))

expand

\frac{x - 1}{x 2 x}

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

Solution steps

\frac{x - 1}{x 2 x}

2 x = 2 x

= \frac{x - 1}{2 x x}

Rationalize

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

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

4 π (r + 1)^{2}

- 4 x^{2} \cdot x^{2}

4 π (r + 1)^{3}

(- (3 + 5 x))^{2}

\frac{7}{( 2 x - 1 ) ^{2}}

What is expand (x-1)/(xsqrt(2x)) ?
The solution to expand (x-1)/(xsqrt(2x)) is (sqrt(2)(x-1))/(2x^{3/2)}