What is (x-4)/(x+2)*(2x+4)/(3x-12) ?

The solution to (x-4)/(x+2)*(2x+4)/(3x-12) is 2/3

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simplify (x-4)/(x+2)*(2x+4)/(3x-12)

simplify

\frac{x - 4}{x + 2} \cdot \frac{2 x + 4}{3 x - 12}

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

\frac{x - 4}{x + 2} \cdot \frac{2 x + 4}{3 x - 12}

Apply the fraction rule:

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

= \frac{( x - 4 ) ( 2 x + 4 )}{( x + 2 ) ( 3 x - 12 )}

Factor

2 x + 4 : 2 (x + 2)

= \frac{( x - 4 ) \cdot 2 ( x + 2 )}{( x + 2 ) ( 3 x - 12 )}

Cancel the common factor:

x + 2

= \frac{( x - 4 ) \cdot 2}{3 x - 12}

Factor

3 x - 12 : 3 (x - 4)

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

Cancel the common factor:

x - 4

= \frac{2}{3}

4 x^{3} 50 x^{6} y^{2}

\frac{27}{31} - \frac{13}{31}

9 - 42

3^{- 1} \cdot 3^{0}

\frac{90}{25}

What is (x-4)/(x+2)*(2x+4)/(3x-12) ?
The solution to (x-4)/(x+2)*(2x+4)/(3x-12) is 2/3