anonymous
  • anonymous
Help? :)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
What is the simplified form of \[\frac{ x ^{2-64} }{ x ^{2}-16x+64 }\]
anonymous
  • anonymous
is the -64 part of the exponent notation in the numerator?
anonymous
  • anonymous
make factors of the numerators and denominators and cancel the common factor

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anonymous
  • anonymous
The numerator can be factored. So we need to factor it: what two numbers when multiplied give you +64 but when added it gives you -16?
anonymous
  • anonymous
8+8=16
anonymous
  • anonymous
I have a feeling the problem is like this: \[\frac{ x^2 - 64 }{ x^2 - 16x + 64 }\] Am I right @Sav_1012 ??
anonymous
  • anonymous
@surjithayer no that is wrong.
anonymous
  • anonymous
no thats right
anonymous
  • anonymous
sorry!
anonymous
  • anonymous
2-64 makes=-62 that makes no sense
anonymous
  • anonymous
So we need two numbers that when multiplied they give you + 64. So: 1 * 64 = 64 8 * 8 = 64 -8 * -8 = 64 these are our two best options we can work with right now. 8 * 8 = 64 -8 * -8 = 64 Now we need to check if any of those when added give us -16. 8 + 8 = 16 -8 + -8 = -16 So we see that -8 and -8 work! \[\frac{ x^2 - 64 }{ x^2 - 16x + 64 } \rightarrow \frac{ x^2 - 64}{ (x - 8 (x-8)}\]
anonymous
  • anonymous
* (x - 8) (x - 8) forgot the parenthesis
anonymous
  • anonymous
Now we need to factor the numerator since we already factored the denominator.
anonymous
  • anonymous
Any ideas on how to do that? @Sav_1012 ??
anonymous
  • anonymous
nope. Im having to finish this course that i took freshamn year and i forgot how to do all this
anonymous
  • anonymous
Did you understand how i factored the denominator??
anonymous
  • anonymous
i just forgot how to do all of it. to be honest
anonymous
  • anonymous
But did you "remember" how to do it now? What I mean is did you kinda remember how to factor the denominator as how i did it?
anonymous
  • anonymous
idk
anonymous
  • anonymous
Take a look at the numerator: x^2 - 64 x^2 - a^2 ---> (x + a)(x - a) So how would you factor x^2 - 64?
anonymous
  • anonymous
If you do now want to try, and give it a try, then sorry but I can not force you so good luck. You got to be willing to learn and be patient and TRY.

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