What is ((3x-9))/((x^2-9)) ?

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

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simplify ((3x-9))/((x^2-9))

simplify

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

\frac{3}{x + 3}

Solution steps

\frac{3 x - 9}{x ^{2} - 9}

Factor

3 x - 9 : 3 (x - 3)

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

Factor

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

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

Cancel the common factor:

x - 3

= \frac{3}{x + 3}

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