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minnie123
***Help Wanted*** ***Medal and Fan Earned*** *** Attachment Below*** ***Change the following mixed expression to a fraction***
\[2-\frac{x^2+10xy+7y^2}{x^2+4xy+4y^2}=\]
For starters: Multiply 2 by the denominator and put it over the existing denominator.
You'll get 2x^2 - x^2 and 8xy - 10xy, etc.
factories the numerator and denominator first, and cancel the common factor
visuals??? and can yu tell me what to multiply again its kind of confusing on how yu guys are saying the steps...
(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.
\[2-\frac{x^2+10xy+7y^2}{x^2+4xy+4y^2}=2-\frac{(x+.y)\cancel{(x+..y)}}{\cancel{(x+..y)}(x+...y))}=\]
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.
My method and Unkle's are a little different. Mine is less steps.
but your solution does not yield the simplified fraction
in case your wondering...im still here im just working it out on paper....
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.
is the final answer (x-y)^2/(x+y)^2 ?
wait (x-y)^2/(x+2y)^2
Thank You! Your a GREAT teacher!
You're a great student and a pleasure to work with!