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

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

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

simplify

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

x - 1

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 4

= x - 1

2 (2 x + 3)

1 4^{- 1}

\frac{1}{8} (16 m - 8) - 17

5 x \cdot 2 x

\frac{5 x - 10}{x ^{2} - 36} \cdot \frac{4 x + 24}{x ^{2} + 5 x - 14}