What is (x^2-14x+45)/(x^2-18x+81) ?

The solution to (x^2-14x+45)/(x^2-18x+81) is (x-5)/(x-9)

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simplify (x^2-14x+45)/(x^2-18x+81)

simplify

\frac{x ^{2} - 14 x + 45}{x ^{2} - 18 x + 81}

\frac{x - 5}{x - 9}

Solution steps

\frac{x ^{2} - 14 x + 45}{x ^{2} - 18 x + 81}

Factor

x^{2} - 14 x + 45 : (x - 5) (x - 9)

= \frac{( x - 5 ) ( x - 9 )}{x ^{2} - 18 x + 81}

Factor

x^{2} - 18 x + 81 : (x - 9)^{2}

= \frac{( x - 5 ) ( x - 9 )}{( x - 9 ) ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x - 9)^{2} = (x - 9) (x - 9)

= \frac{( x - 5 ) ( x - 9 )}{( x - 9 ) ( x - 9 )}

Cancel the common factor:

x - 9

= \frac{x - 5}{x - 9}

lo g_{10} (\frac{1}{10})

(3 x + 4 b) (3 x - 4 b)

1 0^{- 2.3}

\frac{2}{- 12}

lo g_{2} (x^{3})

What is (x^2-14x+45)/(x^2-18x+81) ?
The solution to (x^2-14x+45)/(x^2-18x+81) is (x-5)/(x-9)