What is expand 3/(e(a/x-2)-1) ?

The solution to expand 3/(e(a/x-2)-1) is (3x)/(ea-2ex-x)

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expand 3/(e(a/x-2)-1)

expand

\frac{3}{e ( \frac{a}{x} - 2 ) - 1}

\frac{3 x}{e a - 2 e x - x}

Solution steps

\frac{3}{e ( \frac{a}{x} - 2 ) - 1}

Expand

e (\frac{a}{x} - 2) - 1 : \frac{e a}{x} - 2 e - 1

= \frac{3}{\frac{e a}{x} - 2 e - 1}

Join

\frac{e a}{x} - 2 e - 1 : \frac{e a - 2 e x - x}{x}

= \frac{3}{\frac{e a - 2 e x - x}{x}}

Apply the fraction rule:

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

= \frac{3 x}{e a - 2 e x - x}

\frac{3 s - 14}{( s - 2 ) ( s - 5 )}

(2 m + 4) - \frac{2 ( 5 m + 1 )}{5}

(sin^{4} (x) + cos^{4} (x) - 1) (sec^{2} (x) + csc^{2} (x))

(= e^{- x} x^{2} + 2 e^{- x} x + 2 e^{- x}) x

\frac{4 ln ( 2 )}{x ( 4 + ln ( x ) ) ^{2}}

What is expand 3/(e(a/x-2)-1) ?
The solution to expand 3/(e(a/x-2)-1) is (3x)/(ea-2ex-x)