What is (4-x)/(x^2+2x-24) ?

The solution to (4-x)/(x^2+2x-24) is -1/(x+6)

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simplify (4-x)/(x^2+2x-24)

simplify

\frac{4 - x}{x ^{2} + 2 x - 24}

- \frac{1}{x + 6}

Solution steps

\frac{4 - x}{x ^{2} + 2 x - 24}

Factor

x^{2} + 2 x - 24 : (x - 4) (x + 6)

= \frac{4 - x}{( x - 4 ) ( x + 6 )}

4 - x = - (x - 4)

= \frac{- ( x - 4 )}{( x - 4 ) ( x + 6 )}

Cancel the common factor:

x - 4

= \frac{- 1}{x + 6}

Apply the fraction rule:

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

= - \frac{1}{x + 6}

5 \frac{1}{8} + 6 \frac{3}{20} + 1

- 14 x^{3} y^{4} (- 4 x^{3} y^{2})

\frac{180}{360}

(3 + 2 x)^{6}

m^{3} - 8