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InsanelyChaotic

2x3 - 5x2y + xy2 + 2y3 a. Simplify (2x2 + y2)(x - 2y) = ? b. Simplify (2x + y)(x2 -3xy + 2y 2 ) = ?

  • 11 months ago
  • 11 months ago

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  1. timo86m
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    where is c and d?

    • 11 months ago
  2. timo86m
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    \[2\,{x}^{3}-5\,{x}^{2}y+x{y}^{2}+2\,{y}^{3}\] did you mean that?

    • 11 months ago
  3. InsanelyChaotic
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    yes

    • 11 months ago
  4. timo86m
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    ooh where are c and d then :) i got my own answer can i see c and d?

    • 11 months ago
  5. InsanelyChaotic
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    theyre not right for this

    • 11 months ago
  6. timo86m
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    so far i think it is b but i feel it can be simplified further :)

    • 11 months ago
  7. InsanelyChaotic
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    elimination

    • 11 months ago
  8. InsanelyChaotic
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    its a

    • 11 months ago
  9. InsanelyChaotic
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    ;)

    • 11 months ago
  10. timo86m
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    was it a?

    • 11 months ago
  11. timo86m
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    well i get :) (-y+x)*(x-2*y)*(y+2*x) fully factored

    • 11 months ago
  12. InsanelyChaotic
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    idk

    • 11 months ago
  13. timo86m
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    :) i'll check a and b :)

    • 11 months ago
  14. timo86m
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    i dont think it is a :(

    • 11 months ago
  15. timo86m
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    now for b

    • 11 months ago
  16. InsanelyChaotic
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    its b!!!!!!!!!!!!!!!!!!:)))))))))))))))))))))))))))

    • 11 months ago
  17. timo86m
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    told ya ;)

    • 11 months ago
  18. timo86m
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    and i check to and it is b :D

    • 11 months ago
  19. timo86m
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    If you know algrabeic long division then there is a theory of if you divide your given polynomial in this case 2x3 - 5x2y + xy2 + 2y3 by a suspected binomial or trinomial (2x + y) or (x2 -3xy + 2y 2 ) ^ those are from B the 2 expressions inside the ( ) and you get 0 then that trinomial or binomial is a factor and therfore part of the answer :)

    • 11 months ago
  20. timo86m
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    if you get a remainder of 0 :P

    • 11 months ago
  21. timo86m
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    in other words 2x3 - 5x2y + xy2 + 2y3 -------------------- = (x2 -3xy + 2y 2 ) with no remainder (2x + y) and obviously 2x3 - 5x2y + xy2 + 2y3 --------------------- = 2x+y with no remainder (x2 -3xy + 2y 2 )

    • 11 months ago
  22. timo86m
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    But if you dont know algabreic long division dont bother with that method :P

    • 11 months ago
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