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minnie123

***Help Wanted*** ***Medal and Fan Earned*** *** Attachment Below*** ***Change the following mixed expression to a fraction***

  • one year ago
  • one year ago

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  1. minnie123
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    • one year ago
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  2. UnkleRhaukus
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    \[2-\frac{x^2+10xy+7y^2}{x^2+4xy+4y^2}=\]

    • one year ago
  3. tcarroll010
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    For starters: Multiply 2 by the denominator and put it over the existing denominator.

    • one year ago
  4. tcarroll010
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    You'll get 2x^2 - x^2 and 8xy - 10xy, etc.

    • one year ago
  5. UnkleRhaukus
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    factories the numerator and denominator first, and cancel the common factor

    • one year ago
  6. UnkleRhaukus
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    factorize *

    • one year ago
  7. minnie123
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    visuals??? and can yu tell me what to multiply again its kind of confusing on how yu guys are saying the steps...

    • one year ago
  8. tcarroll010
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    (2)(x^2 + 4xy + y^2) and then place this over the denominator along with the existing numerator that is already over the denominator. Do addition and subtraction of like terms. Piece of cake from that point.

    • one year ago
  9. UnkleRhaukus
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    \[2-\frac{x^2+10xy+7y^2}{x^2+4xy+4y^2}=2-\frac{(x+.y)\cancel{(x+..y)}}{\cancel{(x+..y)}(x+...y))}=\]

    • one year ago
  10. tcarroll010
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    Typo: Look at this instead of my previous post.: (2)(x^2 + 4xy + 4y^2) and then place this over the denominator along with the existing numerator that is already over the denominator. Do addition and subtraction of like terms. Piece of cake from that point. I forgot the "4" in the last term.

    • one year ago
  11. tcarroll010
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    My method and Unkle's are a little different. Mine is less steps.

    • one year ago
  12. UnkleRhaukus
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    but your solution does not yield the simplified fraction

    • one year ago
  13. minnie123
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    in case your wondering...im still here im just working it out on paper....

    • one year ago
  14. tcarroll010
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    My solution will and can incorporate your method if it becomes necessary. Logically, you should do my step first as the resulting numerator will be easier to work with. Then simplification can be done.

    • one year ago
  15. minnie123
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    is the final answer (x-y)^2/(x+y)^2 ?

    • one year ago
  16. minnie123
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    wait (x-y)^2/(x+2y)^2

    • one year ago
  17. tcarroll010
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    Yes!

    • one year ago
  18. tcarroll010
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    Good job!

    • one year ago
  19. minnie123
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    Thank You! Your a GREAT teacher!

    • one year ago
  20. tcarroll010
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    You're a great student and a pleasure to work with!

    • one year ago
  21. minnie123
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    :D

    • one year ago
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