What is (x/((x-1)))^2-3(x/((x-1)))-18 ?

The solution to (x/((x-1)))^2-3(x/((x-1)))-18 is (x^2)/((x-1)^2)-(3x)/(x-1)-18

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simplify (x/((x-1)))^2-3(x/((x-1)))-18

simplify

(\frac{x}{( x - 1 )})^{2} - 3 (\frac{x}{( x - 1 )}) - 18

\frac{x ^{2}}{( x - 1 ) ^{2}} - \frac{3 x}{x - 1} - 18

Solution steps

(\frac{x}{x - 1})^{2} - 3 (\frac{x}{x - 1}) - 18

Apply rule:

(a) = a

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

= (\frac{x}{x - 1})^{2} - 3 \cdot \frac{x}{x - 1} - 18

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

3 \cdot \frac{x}{x - 1} = \frac{3 x}{x - 1}

= \frac{x ^{2}}{( x - 1 ) ^{2}} - \frac{3 x}{x - 1} - 18

\frac{( 2 ^{x} ) ^{x} - ( 2 ^{2} \cdot 2 ^{x} )}{2}

128 a^{3} - 250 b^{3}

\frac{arctan ( a )}{b - arctan ( a - \frac{b}{a} + b )}

148231 - 26115064461 - 50 a^{0}

(v) (5 x^{- 3} \cdot y \cdot z^{2})^{- 2}

What is (x/((x-1)))^2-3(x/((x-1)))-18 ?
The solution to (x/((x-1)))^2-3(x/((x-1)))-18 is (x^2)/((x-1)^2)-(3x)/(x-1)-18