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

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

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

simplify

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

- x - 4

Solution steps

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

Factor

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

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

4 - x = - (x - 4)

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

Cancel the common factor:

x - 4

= \frac{x + 4}{- 1}

Apply the fraction rule:

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

= - (x + 4)

Apply the distributive law:

- (a + b) = - a - b

- (x + 4) = - x - 4

= - x - 4

\frac{x ^{2} + 6 x - 7}{x ^{2} + 10 x + 21}

\frac{3 x ^{5} - x}{x}

(2 x + 5) (x - 4)

2 7^{\frac{- 1}{3}}