anonymous
  • anonymous
s4 – 16 A. (s - 2)2(s + 2)2 B. (s - 2)(s + 2) C. (s - i)(s + i)(s - 2)(s + 2) D. (s - 2i)(s + 2i)(s - 2)(s + 2)
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
I think the answer is B
anonymous
  • anonymous
Again, no. Do you recognize that this is a difference in squares?
anonymous
  • anonymous
no

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anonymous
  • anonymous
Ok. Do you see how s^2 * s^2 = s^4? and that 4 * 4 = 16?
anonymous
  • anonymous
yes so that means the answer has to be A
anonymous
  • anonymous
Nope... \[s^{4} - 16 = (s^{2} - 4)(s^{2} + 4)\]Now, do you realize that s^2 - 4 is also a difference in squares?
anonymous
  • anonymous
no
anonymous
  • anonymous
Alright. The form \[a^{2} - b^{2} = (a + b)(a - b)\]Therefore, \[s^{2} - 4 = (s + 2)(s - 2) The same for s^2 + 4. It turns imaginary. \[s^{2} + 4 = (s - 2i)(s + 2i)
anonymous
  • anonymous
so the answer is C
anonymous
  • anonymous
You've guessed every answer except the correct one...
anonymous
  • anonymous
ok thanks for the help I get it now.
anonymous
  • anonymous
You're welcome :)
anonymous
  • anonymous
What is the degree of each monomial? 7m6n5 A. 5 B. 11 C. 6 D. 7
anonymous
  • anonymous
how do you firgure out the degrees?

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