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**uperkurk** $\displaystyle \frac{x^2-3x+2}{4x}\times\frac{12x^2}{x^2-2x}\times\frac{x}{x-1}$

$\displaystyle \frac{(x-2)(x-1)}{4x}\times\frac{12x^2}{(x-1)(x+2)}\times\frac{x}{x-1}$

I know there are many things I can do here but am I allowed to cancel out all of the $\displaystyle x-1$ or can I only cancel out the first and the second, or the first and the third occurrence? Because after cancelling and reducing everything I got this:

$\displaystyle \frac{3x(x-2)}{x+2}$

But wolfram alpha tells me the answer is $\displaystyle 3x$ so what did I do wrong or miss?

Thanks