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

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

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

simplify

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

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

Solution steps

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

Join

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

= \frac{x - 3}{\frac{x ^{2} - 2 x - 3}{x - 2}}

Apply the fraction rule:

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

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

Cancel

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

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

(3 + 2 i) (4 - 2 i)

\frac{6}{5} \div \frac{3}{5}

(- 4 t^{5}) (- 10 t)

\frac{972}{4}

4 x (x + 3)