What is (x^2-18x+80)/(x^2-16x+60) ?

The solution to (x^2-18x+80)/(x^2-16x+60) is (x-8)/(x-6)

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simplify (x^2-18x+80)/(x^2-16x+60)

simplify

\frac{x ^{2} - 18 x + 80}{x ^{2} - 16 x + 60}

\frac{x - 8}{x - 6}

Solution steps

\frac{x ^{2} - 18 x + 80}{x ^{2} - 16 x + 60}

Factor

x^{2} - 18 x + 80 : (x - 8) (x - 10)

= \frac{( x - 8 ) ( x - 10 )}{x ^{2} - 16 x + 60}

Factor

x^{2} - 16 x + 60 : (x - 6) (x - 10)

= \frac{( x - 8 ) ( x - 10 )}{( x - 6 ) ( x - 10 )}

Cancel the common factor:

x - 10

= \frac{x - 8}{x - 6}

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

(t^{2} + 2 t + 1)^{2}

2 (3^{x})

\frac{x ^{- 4}}{x ^{6}}

What is (x^2-18x+80)/(x^2-16x+60) ?
The solution to (x^2-18x+80)/(x^2-16x+60) is (x-8)/(x-6)