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Popular >

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

Solution

simplify

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

Solution

\frac{1}{x - 1}

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 4

= \frac{1}{x - 1}

Popular Examples

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\frac{( x + 1 )}{( x + 1 ) ^{2} + 1}

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- 4^{- 1} \cdot 4^{3}

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2 \frac{1}{2} \cdot 2

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2 + 5

simplify 4/(sqrt(5)-\sqrt{3)}simplify

\frac{4}{5 - 3}

Frequently Asked Questions (FAQ)

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