What is (x^2-5x+6)/(x^2-2x) ?

The solution to (x^2-5x+6)/(x^2-2x) is (x-3)/x

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simplify (x^2-5x+6)/(x^2-2x)

simplify

\frac{x ^{2} - 5 x + 6}{x ^{2} - 2 x}

\frac{x - 3}{x}

Solution steps

\frac{x ^{2} - 5 x + 6}{x ^{2} - 2 x}

Factor

x^{2} - 5 x + 6 : (x - 2) (x - 3)

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

Factor

x^{2} - 2 x : x (x - 2)

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

Cancel the common factor:

x - 2

= \frac{x - 3}{x}

lo g_{10} (1 0^{- 5})

\frac{6 m ^{3} - 8 m ^{2} n + 20 m n ^{2}}{- 2 m}

5 (x + 2)

x (x + 4 y)

\frac{4 x}{2}