anonymous
  • anonymous
***Help Wanted*** ***Medal and Fan Earned*** *** Attachment Below*** ***Change the following mixed expression to a fraction***
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
1 Attachment
UnkleRhaukus
  • UnkleRhaukus
\[2-\frac{x^2+10xy+7y^2}{x^2+4xy+4y^2}=\]
anonymous
  • anonymous
For starters: Multiply 2 by the denominator and put it over the existing denominator.

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anonymous
  • anonymous
You'll get 2x^2 - x^2 and 8xy - 10xy, etc.
UnkleRhaukus
  • UnkleRhaukus
factories the numerator and denominator first, and cancel the common factor
UnkleRhaukus
  • UnkleRhaukus
factorize *
anonymous
  • anonymous
visuals??? and can yu tell me what to multiply again its kind of confusing on how yu guys are saying the steps...
anonymous
  • anonymous
(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.
UnkleRhaukus
  • UnkleRhaukus
\[2-\frac{x^2+10xy+7y^2}{x^2+4xy+4y^2}=2-\frac{(x+.y)\cancel{(x+..y)}}{\cancel{(x+..y)}(x+...y))}=\]
anonymous
  • anonymous
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.
anonymous
  • anonymous
My method and Unkle's are a little different. Mine is less steps.
UnkleRhaukus
  • UnkleRhaukus
but your solution does not yield the simplified fraction
anonymous
  • anonymous
in case your wondering...im still here im just working it out on paper....
anonymous
  • anonymous
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.
anonymous
  • anonymous
is the final answer (x-y)^2/(x+y)^2 ?
anonymous
  • anonymous
wait (x-y)^2/(x+2y)^2
anonymous
  • anonymous
Yes!
anonymous
  • anonymous
Good job!
anonymous
  • anonymous
Thank You! Your a GREAT teacher!
anonymous
  • anonymous
You're a great student and a pleasure to work with!
anonymous
  • anonymous
:D

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