What is (2/x-1)(3x-7) ?

The solution to (2/x-1)(3x-7) is ((-x+2)(3x-7))/x

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simplify (2/x-1)(3x-7)

simplify

(\frac{2}{x} - 1) (3 x - 7)

\frac{( - x + 2 ) ( 3 x - 7 )}{x}

Solution steps

(\frac{2}{x} - 1) (3 x - 7)

Join

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

= \frac{- x + 2}{x} (3 x - 7)

Apply the fraction rule:

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

= \frac{( - x + 2 ) ( 3 x - 7 )}{x}

\frac{9}{8} \cdot \frac{9}{7}

\frac{3}{3} - 3

8 - 25

\frac{4}{8} + \frac{1}{8}

- 36 n^{3} - 12 n - 28