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minnie123

  • 2 years ago

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

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

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

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

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

  6. UnkleRhaukus
    • 2 years ago
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    factorize *

  7. minnie123
    • 2 years ago
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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...

  8. tcarroll010
    • 2 years ago
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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.

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

  10. tcarroll010
    • 2 years ago
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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.

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

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

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

  14. tcarroll010
    • 2 years ago
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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.

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

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

  17. tcarroll010
    • 2 years ago
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    Yes!

  18. tcarroll010
    • 2 years ago
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    Good job!

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

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

  21. minnie123
    • 2 years ago
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    :D

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