What is (x^2-9x+8)/(x^2-12x+32) ?

The solution to (x^2-9x+8)/(x^2-12x+32) is (x-1)/(x-4)

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simplify (x^2-9x+8)/(x^2-12x+32)

simplify

\frac{x ^{2} - 9 x + 8}{x ^{2} - 12 x + 32}

\frac{x - 1}{x - 4}

Solution steps

\frac{x ^{2} - 9 x + 8}{x ^{2} - 12 x + 32}

Factor

x^{2} - 9 x + 8 : (x - 1) (x - 8)

= \frac{( x - 1 ) ( x - 8 )}{x ^{2} - 12 x + 32}

Factor

x^{2} - 12 x + 32 : (x - 4) (x - 8)

= \frac{( x - 1 ) ( x - 8 )}{( x - 4 ) ( x - 8 )}

Cancel the common factor:

x - 8

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

49 \times 4

\frac{96}{24}

\frac{3}{2} - 3

\frac{\frac{5}{x} - 3}{\frac{5}{x} + 3}

What is (x^2-9x+8)/(x^2-12x+32) ?
The solution to (x^2-9x+8)/(x^2-12x+32) is (x-1)/(x-4)