What is (16-x^2)/(x-4) ?

The solution to (16-x^2)/(x-4) is -4-x

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simplify (16-x^2)/(x-4)

simplify

\frac{16 - x ^{2}}{x - 4}

- 4 - x

Solution steps

\frac{16 - x ^{2}}{x - 4}

Factor

16 - x^{2} : (4 + x) (4 - x)

= \frac{( 4 + x ) ( 4 - x )}{x - 4}

(4 + x) (4 - x) = - (4 + x) (x - 4)

= \frac{- ( 4 + x ) ( x - 4 )}{x - 4}

Cancel the common factor:

x - 4

= - (4 + x)

Apply the distributive law:

- (a + b) = - a - b

- (4 + x) = - 4 - x

= - 4 - x

\frac{- 6}{- 10}

\frac{225}{1000}

(7^{4})^{2}

\frac{9}{4} - \frac{2}{5} - \frac{1}{7}