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Mikeyy64Best ResponseYou've already chosen the best response.0
\[\frac{ 15x + 15 }{ x^2  1 }\]
 9 months ago

CompassionateBest ResponseYou've already chosen the best response.1
Hello, my name is Stephen and I will be your tutor. The first step is to factor the bottom terms and top terms, do you see any possible factors, Mikeyy?
 9 months ago

Mikeyy64Best ResponseYou've already chosen the best response.0
15(x + 1)  (x  1)(x + 1)
 9 months ago

CompassionateBest ResponseYou've already chosen the best response.1
Correct! Now, you see the x + 1's will cancel, leaving you with \[\frac{ 15 }{ x  1 }\]
 9 months ago

Mikeyy64Best ResponseYou've already chosen the best response.0
So: (x + 1) would cancel out (x + 1) and not (x  1) I thought negative would cancel out a positive and other way around. That's where I got confused.
 9 months ago

CompassionateBest ResponseYou've already chosen the best response.1
No, that's not the case. Only like terms can cancel each other, for example, if I had \[\frac{ x  y }{ x  a }\] The terms cannot cancel, nor can the x's, because x  y and x  a, are terms themselves. You need to understand that. Now, if I had: x  y over x  y, then I could cancel. Only terms that are exactly the same can be canceled.
 9 months ago

Mikeyy64Best ResponseYou've already chosen the best response.0
Oh okay, thank you for that information ^.^
 9 months ago

CompassionateBest ResponseYou've already chosen the best response.1
You're welcome! OpenStudy On ~~
 9 months ago
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