What is (x^2-6x+8)/(x^2-5x+4) ?

The solution to (x^2-6x+8)/(x^2-5x+4) is (x-2)/(x-1)

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simplify (x^2-6x+8)/(x^2-5x+4)

simplify

\frac{x ^{2} - 6 x + 8}{x ^{2} - 5 x + 4}

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

Solution steps

\frac{x ^{2} - 6 x + 8}{x ^{2} - 5 x + 4}

Factor

x^{2} - 6 x + 8 : (x - 2) (x - 4)

= \frac{( x - 2 ) ( x - 4 )}{x ^{2} - 5 x + 4}

Factor

x^{2} - 5 x + 4 : (x - 1) (x - 4)

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

Cancel the common factor:

x - 4

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

100 - 25

- 1 - \frac{2}{5}

\frac{x ^{2} + 9 x + 8}{x ^{2} + 4 x - 32}

\frac{6 !}{30 ! 6 !}

- 3 i^{3}

What is (x^2-6x+8)/(x^2-5x+4) ?
The solution to (x^2-6x+8)/(x^2-5x+4) is (x-2)/(x-1)