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

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

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

simplify

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

\frac{1}{x + 2}

Solution steps

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

Factor

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

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

Cancel the common factor:

x - 2

= \frac{1}{x + 2}

\frac{( 5 x ^{2} - 5 )}{( 3 x ^{2} + 3 x )}

(x + 5) (2 x - 6)

\frac{63}{8}

∣ - 5 + (- 8) ∣

\frac{( 2 x ^{4} + x ^{3} - 19 x ^{2} + 18 x + 5 )}{( 2 x - 5 )}

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