What is (x^2-4)/(2x)*6/(3x+6) ?

The solution to (x^2-4)/(2x)*6/(3x+6) is (x-2)/x

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simplify (x^2-4)/(2x)*6/(3x+6)

simplify

\frac{x ^{2} - 4}{2 x} \cdot \frac{6}{3 x + 6}

\frac{x - 2}{x}

Solution steps

\frac{x ^{2} - 4}{2 x} \cdot \frac{6}{3 x + 6}

Cancel

\frac{6}{3 x + 6} : \frac{2}{x + 2}

= \frac{x ^{2} - 4}{2 x} \cdot \frac{2}{x + 2}

Apply the fraction rule:

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

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

Cancel the common factor:

2

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

Factor

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

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

Cancel the common factor:

x + 2

= \frac{x - 2}{x}

\frac{( 4 )}{( Y - 4 )} + \frac{( Y )}{( Y - 4 )}

\frac{x - y}{x + y} - \frac{x + y}{x - y}

5 \frac{1}{4} \div \frac{5}{8}

lo g_{2} (4^{x})

2 \cdot + 3

What is (x^2-4)/(2x)*6/(3x+6) ?
The solution to (x^2-4)/(2x)*6/(3x+6) is (x-2)/x