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minnie123 Group Title

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

  • 2 years ago
  • 2 years ago

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

    • 2 years ago
  3. tcarroll010 Group Title
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    For starters: Multiply 2 by the denominator and put it over the existing denominator.

    • 2 years ago
  4. tcarroll010 Group Title
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    You'll get 2x^2 - x^2 and 8xy - 10xy, etc.

    • 2 years ago
  5. UnkleRhaukus Group Title
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    factories the numerator and denominator first, and cancel the common factor

    • 2 years ago
  6. UnkleRhaukus Group Title
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    factorize *

    • 2 years ago
  7. minnie123 Group Title
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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...

    • 2 years ago
  8. tcarroll010 Group Title
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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.

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

    • 2 years ago
  10. tcarroll010 Group Title
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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.

    • 2 years ago
  11. tcarroll010 Group Title
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    My method and Unkle's are a little different. Mine is less steps.

    • 2 years ago
  12. UnkleRhaukus Group Title
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    but your solution does not yield the simplified fraction

    • 2 years ago
  13. minnie123 Group Title
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    in case your wondering...im still here im just working it out on paper....

    • 2 years ago
  14. tcarroll010 Group Title
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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.

    • 2 years ago
  15. minnie123 Group Title
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    is the final answer (x-y)^2/(x+y)^2 ?

    • 2 years ago
  16. minnie123 Group Title
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    wait (x-y)^2/(x+2y)^2

    • 2 years ago
  17. tcarroll010 Group Title
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    Yes!

    • 2 years ago
  18. tcarroll010 Group Title
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    Good job!

    • 2 years ago
  19. minnie123 Group Title
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    Thank You! Your a GREAT teacher!

    • 2 years ago
  20. tcarroll010 Group Title
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    You're a great student and a pleasure to work with!

    • 2 years ago
  21. minnie123 Group Title
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    :D

    • 2 years ago
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