SOLUTION: Good afternoon, I need some help with this problem please. I been stuck on it for a week now. My text book is of no help, not enough examples. Thank you for your time. VR First

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Question 168327This question is from textbook
: Good afternoon, I need some help with this problem please. I been stuck on it for a week now. My text book is of no help, not enough examples. Thank you for your time.
VR
First question: 1/x^2-36}-{x+3/x^2-7x+6
Second questoin: 16 minus 1 over y^2 over 4 plus 1 over y

"1/x^2-36 is a fraction as is x+3/x^2-7x+6 I am to subract and then simplify if possible. It is asking for page number of my text this is in. This is a question the teacher gave me that is not in the text.
Thank you
This question is from textbook

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
First question: 1/x^2-36}-{x+3/x^2-7x+6
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Note that the 1st denominator is the "difference of squares"
2nd denominator can be factored also;
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The common denominator is(x-6)(x+6)(x-1)
we have:
= = ; removing brackets changes signs
Combining like terms;
= =

Second question: 16 minus 1 over y^2 over 4 plus 1 over y

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:
We want each written as a single fraction:

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:
Invert the dividing fraction and multiply
*
:
16y^2 - 1 is the difference of squares, factor that to
*
;
Some simple canceling and you have:

:
:
"1/x^2-36 is a fraction as is x+3/x^2-7x+6 I am to subtract and then simplify if possible.
-
;
This is exactly the same as the 1st problem

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