anonymous
  • anonymous
Simplify:
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\frac{ 15x + 15 }{ x^2 - 1 }\]
Compassionate
  • Compassionate
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?
anonymous
  • anonymous
15(x + 1) -------- (x - 1)(x + 1)

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anonymous
  • anonymous
Is that correct?
Compassionate
  • Compassionate
Correct! Now, you see the x + 1's will cancel, leaving you with \[\frac{ 15 }{ x - 1 }\]
anonymous
  • anonymous
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.
Compassionate
  • Compassionate
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.
anonymous
  • anonymous
Oh okay, thank you for that information ^.^
Compassionate
  • Compassionate
You're welcome! OpenStudy On ~~
anonymous
  • anonymous
You too (:

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