What is (x^2-12x+27)/(x^2-81) ?

The solution to (x^2-12x+27)/(x^2-81) is (x-3)/(x+9)

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simplify (x^2-12x+27)/(x^2-81)

simplify

\frac{x ^{2} - 12 x + 27}{x ^{2} - 81}

\frac{x - 3}{x + 9}

Solution steps

\frac{x ^{2} - 12 x + 27}{x ^{2} - 81}

Factor

x^{2} - 12 x + 27 : (x - 3) (x - 9)

= \frac{( x - 3 ) ( x - 9 )}{x ^{2} - 81}

Factor

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

= \frac{( x - 3 ) ( x - 9 )}{( x + 9 ) ( x - 9 )}

Cancel the common factor:

x - 9

= \frac{x - 3}{x + 9}

4 x^{3} - 12 x^{2} + 16

42 + 42

16 x^{6} + 4 a^{2} x^{4}

9 \cdot 11

2 (3 + n)^{3} - 4 + 2 (3 + n)

What is (x^2-12x+27)/(x^2-81) ?
The solution to (x^2-12x+27)/(x^2-81) is (x-3)/(x+9)