anonymous
  • anonymous
Which of the following is the simplified form of x^2-16/x-4? a. x + 4, with the restriction x ≠ -4 b. x - 4, with the restriction x ≠ -4 c. x + 4, with the restriction x ≠ 4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Just factor \[\large \sf x^{2}-16\] and the rest is easy
anonymous
  • anonymous
i dont know how too this is my first time trying it
anonymous
  • anonymous
What numbers can you multiply together to get -16 and add to get 0?

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anonymous
  • anonymous
4 and -4
anonymous
  • anonymous
Right. So since you need to get x² it will look like this \[\large \sf (x-4)(x+4)\] Can you take it from there?
anonymous
  • anonymous
do i have to do foil?
anonymous
  • anonymous
Well if you "foiled", what you would get is \[\large \sf x^{2}-16\] We factored it to get away from that form. So the entire fraction will now look like this. \[\large \sf \frac{(x-4)(x+4)}{x-4}\] Any idea what to do next?
anonymous
  • anonymous
i would cancel out the -4s?
anonymous
  • anonymous
Close. You would cancel out the (x-4)'s
anonymous
  • anonymous
and then i would be left with (x+4)?
anonymous
  • anonymous
with the restriction x≠-4?
anonymous
  • anonymous
Yep, in other words "x+4" is the simplified version. And you are wrong on the second part, the restriction is x ≠ 4
anonymous
  • anonymous
oh alright. Can you help me with a really long one please
anonymous
  • anonymous
Tag me and I'll see.

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