SOLUTION: Can you please help me. The problem says perform the indicated operation and simplify the result. Leave answers in factored form: A.{{{((12)/(x^2-x)) *((x^2-1)/(4x-2))}}} b.{{{(x)

Question 94240: Can you please help me. The problem says perform the indicated operation and simplify the result. Leave answers in factored form: A. b. c. d. If possible could you show me the steps and rules used to complete these. Thank you sooooo much!!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Can you please help me. The problem says perform the indicated operation and simplify the result. Leave answers in factored form:
:
:
A. *
:
Step 1 is to see what can be factored, often you will have the same factors
and can see some that can be factored out, which simplifies things.
Note that (x^2-1) is the difference of squares
In this one we can do this:
*
:
Cancel the (x-1)'s. The 2 will cancel into the 12. Leaving us with:
* =
:
:
b. -
:
-
:
Common denominator would be (x-3)(x+8), so we can have:
= =
:
the final numerator won't factor so that's about all we can do with it
:
:
c. Here we want to place the second expression over a common denominator 1st.
* = * = * = *
;
Cancel h into -h and you have:
=
:
:
d. Multiply what's inside the brackets, remember a minus outside the brackets
changes the signs inside the brackets.
= =
:
:
If possible could you show me the steps and rules used to complete these
:
The rules are much the same as for dealing with numerical fractions,
Remember the rule about a negative outside the brackets.
When factoring, look for the difference of squares for example:
(x^2 - 4) factors to (x+2)(x-2); and 4x^2 - 9) factors to (2x+3)(2x-3)
Use a step-by-step approach
:
Any questions about what we did here?
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