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

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

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

simplify

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

- \frac{1}{x + 2}

Solution steps

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

Factor

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

= \frac{2 - x}{( x + 2 ) ( x - 2 )}

2 - x = - (x - 2)

= \frac{- ( x - 2 )}{( x + 2 ) ( x - 2 )}

Cancel the common factor:

x - 2

= \frac{- 1}{x + 2}

Apply the fraction rule:

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

= - \frac{1}{x + 2}

(- 54) - (22)

(x^{2} - 6)^{2} - 6

ab (a + b) - b c (b + c) + a c (a - c)

3 (4 x + 6) + 7 x

\frac{- 81}{( - 9 )}