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chadandtricia_2009

  • 3 years ago

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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  1. chadandtricia_2009
    • 3 years ago
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    I think the answer is B

  2. Calcmathlete
    • 3 years ago
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    Again, no. Do you recognize that this is a difference in squares?

  3. chadandtricia_2009
    • 3 years ago
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    no

  4. Calcmathlete
    • 3 years ago
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    Ok. Do you see how s^2 * s^2 = s^4? and that 4 * 4 = 16?

  5. chadandtricia_2009
    • 3 years ago
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    yes so that means the answer has to be A

  6. Calcmathlete
    • 3 years ago
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    Nope... \[s^{4} - 16 = (s^{2} - 4)(s^{2} + 4)\]Now, do you realize that s^2 - 4 is also a difference in squares?

  7. chadandtricia_2009
    • 3 years ago
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    no

  8. Calcmathlete
    • 3 years ago
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    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)

  9. chadandtricia_2009
    • 3 years ago
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    so the answer is C

  10. Calcmathlete
    • 3 years ago
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    You've guessed every answer except the correct one...

  11. chadandtricia_2009
    • 3 years ago
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    ok thanks for the help I get it now.

  12. Calcmathlete
    • 3 years ago
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    You're welcome :)

  13. chadandtricia_2009
    • 3 years ago
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    What is the degree of each monomial? 7m6n5 A. 5 B. 11 C. 6 D. 7

  14. chadandtricia_2009
    • 3 years ago
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    how do you firgure out the degrees?

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