What is (1/(2sqrt(x))-1/(2x^{3/2)})(x-4) ?

The solution to (1/(2sqrt(x))-1/(2x^{3/2)})(x-4) is ((x-1)(x-4))/(2x^{3/2)}

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simplify (1/(2sqrt(x))-1/(2x^{3/2)})(x-4)

simplify

(\frac{1}{2 x} - \frac{1}{2 x ^{\frac{3}{2}}}) (x - 4)

\frac{( x - 1 ) ( x - 4 )}{2 x ^{\frac{3}{2}}}

Solution steps

(\frac{1}{2 x} - \frac{1}{2 x ^{\frac{3}{2}}}) (x - 4)

Join

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

= \frac{x - 1}{2 x ^{\frac{3}{2}}} (x - 4)

Apply the fraction rule:

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

= \frac{( x - 1 ) ( x - 4 )}{2 x ^{\frac{3}{2}}}

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

(4 + 3 x) x^{3} + e^{3 x} \cdot 3 x^{4} + 4

\frac{4}{( 1 - x ) ^{3}}

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

\frac{π ( - 7 S + 84 π )}{14 π}

What is (1/(2sqrt(x))-1/(2x^{3/2)})(x-4) ?
The solution to (1/(2sqrt(x))-1/(2x^{3/2)})(x-4) is ((x-1)(x-4))/(2x^{3/2)}