Question

Can anybody please explain how to simplify this?

Answer 1

\[x^{-1}\] means \[\frac{1}{x}\]

Answer 2

I factored and simplified and got \[\frac{ 2x(x+2)(x-3) }{ x^2 (x-4) (x+2) }\]

Answer 3

is this correct?

Answer 4

Let me check...

Answer 5

Top looks right...

Answer 6

And so does the bottom. Now just cancel out some terms.

Answer 7

(x+2) right?

Answer 8

is there anything else I can simplify?

Answer 9

Yes, what else?

Answer 10

I don't know :( sorry

Answer 11

\[\frac{ 2x(x+2)(x-3) }{ x^2 (x-4) (x+2) }\]
From here, there are things you can cancel or simplify. Look for terms that are the same on the top and the bottom.

Answer 12

They also have an x term in common :)

Answer 13

So i just cancel it out or...?how ?

Answer 14

When the same number is on the to as on the bottom, That = 1 so just cross them out.

Answer 15

yes I understand about x+2, what I do not understand is the how the 2x and x^3 simplify :(

Answer 16

\[x^2 = x*x\]

Answer 17

Also, when dividing like terms with exponents - you subtract the exponents.
\[\frac{x^5}{x^3} = x^{5-3} = x^2\]

Answer 18

Thanks a lot!!!

Answer 19

Your Welcome.