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

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

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

simplify

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

- \frac{1}{x + 3}

Solution steps

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

Factor

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

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

3 - x = - (x - 3)

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

Cancel the common factor:

x - 3

= \frac{- 1}{x + 3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{x + 3}

10 + (- 1)

e^{l n (x) + l n (y)}

(60 - 56) \cdot (45 + 9)