What is (x^2-17x+70)/(x^2-18x+80) ?

The solution to (x^2-17x+70)/(x^2-18x+80) is (x-7)/(x-8)

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simplify (x^2-17x+70)/(x^2-18x+80)

simplify

\frac{x ^{2} - 17 x + 70}{x ^{2} - 18 x + 80}

\frac{x - 7}{x - 8}

Solution steps

\frac{x ^{2} - 17 x + 70}{x ^{2} - 18 x + 80}

Factor

x^{2} - 17 x + 70 : (x - 7) (x - 10)

= \frac{( x - 7 ) ( x - 10 )}{x ^{2} - 18 x + 80}

Factor

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

= \frac{( x - 7 ) ( x - 10 )}{( x - 8 ) ( x - 10 )}

Cancel the common factor:

x - 10

= \frac{x - 7}{x - 8}

\frac{2 7}{10}

\frac{3}{4} \times 40

\frac{4 x + 3}{x} + \frac{24}{2 x ^{2} - 8 x}

- 4 y^{2} + 4 x y - 2 x^{2} + 2 x + 10

What is (x^2-17x+70)/(x^2-18x+80) ?
The solution to (x^2-17x+70)/(x^2-18x+80) is (x-7)/(x-8)