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

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

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

simplify

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

- 3 - x

Solution steps

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

Factor

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

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

(3 + x) (3 - x) = - (3 + x) (x - 3)

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

Cancel the common factor:

x - 3

= - (3 + x)

Apply the distributive law:

- (a + b) = - a - b

- (3 + x) = - 3 - x

= - 3 - x

\frac{8}{5 - 6}

2 x^{2} + 10

(- 4) \cdot (- 5)

x y + 2 x + 5 y + 10

4 v^{\frac{2}{3}} \cdot v^{- 1}