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

The solution to (3x)/(x-2)*(x^2-4)/(x^2+3x+2) is (3x)/(x+1)

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

simplify

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

\frac{3 x}{x + 1}

Solution steps

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

Cancel

\frac{x ^{2} - 4}{x ^{2} + 3 x + 2} : \frac{x - 2}{x + 1}

= \frac{3 x}{x - 2} \cdot \frac{x - 2}{x + 1}

Cross-cancel common factor:

x - 2

= \frac{3 x}{x + 1}

\frac{50}{200}

2 (x - 4 x)

18 x + 12

\frac{- 6}{12}

x^{4} + x^{3} + x^{2} + 2 x + 1

What is (3x)/(x-2)*(x^2-4)/(x^2+3x+2) ?
The solution to (3x)/(x-2)*(x^2-4)/(x^2+3x+2) is (3x)/(x+1)