What is x^4(1-2/(x-1)) ?

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

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simplify x^4(1-2/(x-1))

simplify

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

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

Solution steps

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

Join

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

= x^{4} \frac{x - 3}{x - 1}

Apply the fraction rule:

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

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

y^{2} e^{y} (1 + \frac{2}{y}) sin (x)

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

(sec^{2} (x) + 1)^{2}

\frac{10 ( 1229 - 2 )}{49}

\frac{- e ^{ik} ( ik - 1 ) + e ^{- ik} ( - ik - 1 )}{k ^{2}}