What is (x^2-25)/(x^2-6x+5) ?

The solution to (x^2-25)/(x^2-6x+5) is (x+5)/(x-1)

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simplify (x^2-25)/(x^2-6x+5)

simplify

\frac{x ^{2} - 25}{x ^{2} - 6 x + 5}

\frac{x + 5}{x - 1}

Solution steps

\frac{x ^{2} - 25}{x ^{2} - 6 x + 5}

Factor

x^{2} - 25 : (x + 5) (x - 5)

= \frac{( x + 5 ) ( x - 5 )}{x ^{2} - 6 x + 5}

Factor

x^{2} - 6 x + 5 : (x - 1) (x - 5)

= \frac{( x + 5 ) ( x - 5 )}{( x - 1 ) ( x - 5 )}

Cancel the common factor:

x - 5

= \frac{x + 5}{x - 1}

(5)^{5}

\frac{x ^{2} + 3 x - 4}{x ^{3} - 1}

(\frac{25 x ^{4}}{4})^{- \frac{1}{2}}

\frac{x ^{2} + 6 x + 8}{x ^{2} + 7 x + 12}

(x^{4} + x^{2}) (x^{6} - 3 x^{3})

What is (x^2-25)/(x^2-6x+5) ?
The solution to (x^2-25)/(x^2-6x+5) is (x+5)/(x-1)