1. ## Is this allowed?

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

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

I know there are many things I can do here but am I allowed to cancel out all of the $x-1$ 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:

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

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

Thanks

2. ## Re: Is this allowed?

Originally Posted by uperkurk
$\frac{x^2-3x+2}{4x}\times\frac{12x^2}{x^2-2x}\times\frac{x}{x-1}$

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

I know there are many things I can do here but am I allowed to cancel out all of the $x-1$ 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:

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

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

Thanks
You've made one mistake in factoring the denominator of the 2nd fraction....

3. ## Re: Is this allowed?

Middle fraction,

$x^{2} - 2x$ is not equal to $(x-1)(x+2).$

4. ## Re: Is this allowed?

Thanks I see my mistake.

5. ## Re: Is this allowed?

Just a quick question without making a new topic.

$\frac{9x-9}{(x-3)(x-1)(x+3)} = \frac{9}{(x-3)(x+3)}$

What happened here? The book doesn't explain where the $9x$ or the $(x-1)$ goes

6. ## Re: Is this allowed?

Originally Posted by uperkurk
Just a quick question without making a new topic.

$\frac{9x-9}{(x-3)(x-1)(x+3)} = \frac{9}{(x-3)(x+3)}$

What happened here? The book doesn't explain where the $9x$ or the $(x-1)$ goes
$\frac{9x-9}{(x-3)(x-1)(x+3)} = \frac{9(x-1)}{(x-3)(x-1)(x+3)}$

7. ## Re: Is this allowed?

Originally Posted by Plato
$\frac{9x-9}{(x-3)(x-1)(x+3)} = \frac{9(x-1)}{(x-3)(x-1)(x+3)}$
omg I'm so stupid I feel so so stupid lol, these stupid mistakes happen when it gets late