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

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

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

simplify

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

- x - 3

Solution steps

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

Factor

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

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

3 - x = - (x - 3)

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

Cancel the common factor:

x - 3

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

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (x + 3)

Apply the distributive law:

- (a + b) = - a - b

- (x + 3) = - x - 3

= - x - 3

0 x^{2} - 2 x^{2}

(8 - 3 i) - (6 + i)

\frac{16 x ^{2}}{16 x ^{3}}

- x^{2} - 8 x