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)
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OpenStudy (anonymous):
I think the answer is B
OpenStudy (anonymous):
Again, no.
Do you recognize that this is a difference in squares?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
Ok. Do you see how s^2 * s^2 = s^4? and that 4 * 4 = 16?
OpenStudy (anonymous):
yes so that means the answer has to be A
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OpenStudy (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?
OpenStudy (anonymous):
no
OpenStudy (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)
OpenStudy (anonymous):
so the answer is C
OpenStudy (anonymous):
You've guessed every answer except the correct one...
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OpenStudy (anonymous):
ok thanks for the help I get it now.
OpenStudy (anonymous):
You're welcome :)
OpenStudy (anonymous):
What is the degree of each monomial?
7m6n5
A. 5
B. 11
C. 6
D. 7