What is (x+3)/(x^2-81)*(3x-27)/(3x+9) ?

The solution to (x+3)/(x^2-81)*(3x-27)/(3x+9) is 1/(x+9)

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simplify (x+3)/(x^2-81)*(3x-27)/(3x+9)

simplify

\frac{x + 3}{x ^{2} - 81} \cdot \frac{3 x - 27}{3 x + 9}

\frac{1}{x + 9}

Solution steps

\frac{x + 3}{x ^{2} - 81} \cdot \frac{3 x - 27}{3 x + 9}

Cancel

\frac{3 x - 27}{3 x + 9} : \frac{x - 9}{x + 3}

= \frac{x + 3}{x ^{2} - 81} \cdot \frac{x - 9}{x + 3}

Cross-cancel common factor:

x + 3

= \frac{x - 9}{x ^{2} - 81}

Factor

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

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

Cancel the common factor:

x - 9

= \frac{1}{x + 9}

\frac{2}{5} \div \frac{1}{2}

(5^{2})^{5}

(12 + 5 i) - (2 - i)

\frac{8}{22}

(- 3)^{\frac{2}{3}}

What is (x+3)/(x^2-81)*(3x-27)/(3x+9) ?
The solution to (x+3)/(x^2-81)*(3x-27)/(3x+9) is 1/(x+9)