What is ((x-2)/2)/((x^2-4)/3) ?

The solution to ((x-2)/2)/((x^2-4)/3) is 3/(2(x+2))

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simplify ((x-2)/2)/((x^2-4)/3)

simplify

\frac{\frac{x - 2}{2}}{\frac{x ^{2} - 4}{3}}

\frac{3}{2 ( x + 2 )}

Solution steps

\frac{\frac{x - 2}{2}}{\frac{x ^{2} - 4}{3}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{( x - 2 ) \cdot 3}{2 ( x ^{2} - 4 )}

Cancel

\frac{( x - 2 ) \cdot 3}{2 ( x ^{2} - 4 )} : \frac{3}{2 ( x + 2 )}

= \frac{3}{2 ( x + 2 )}

\frac{sin ( x )}{1 - cos ( x )} - csc (x)

(1 - 2 m + 5 m^{2}) (8 - 6 m)

\frac{1}{3} \div \frac{1}{6}

- lo g_{10} (0.25)

(x - 2) (x + 4) (x + 6)

What is ((x-2)/2)/((x^2-4)/3) ?
The solution to ((x-2)/2)/((x^2-4)/3) is 3/(2(x+2))