## minnie123 Group Title ***Help Wanted*** ***Medal and Fan Earned*** *** Attachment Below*** ***Change the following mixed expression to a fraction*** one year ago one year ago

1. minnie123 Group Title

2. UnkleRhaukus Group Title

$2-\frac{x^2+10xy+7y^2}{x^2+4xy+4y^2}=$

3. tcarroll010 Group Title

For starters: Multiply 2 by the denominator and put it over the existing denominator.

4. tcarroll010 Group Title

You'll get 2x^2 - x^2 and 8xy - 10xy, etc.

5. UnkleRhaukus Group Title

factories the numerator and denominator first, and cancel the common factor

6. UnkleRhaukus Group Title

factorize *

7. minnie123 Group Title

visuals??? and can yu tell me what to multiply again its kind of confusing on how yu guys are saying the steps...

8. tcarroll010 Group Title

(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 Group Title

$2-\frac{x^2+10xy+7y^2}{x^2+4xy+4y^2}=2-\frac{(x+.y)\cancel{(x+..y)}}{\cancel{(x+..y)}(x+...y))}=$

10. tcarroll010 Group Title

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 Group Title

My method and Unkle's are a little different. Mine is less steps.

12. UnkleRhaukus Group Title

but your solution does not yield the simplified fraction

13. minnie123 Group Title

in case your wondering...im still here im just working it out on paper....

14. tcarroll010 Group Title

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 Group Title

is the final answer (x-y)^2/(x+y)^2 ?

16. minnie123 Group Title

wait (x-y)^2/(x+2y)^2

17. tcarroll010 Group Title

Yes!

18. tcarroll010 Group Title

Good job!

19. minnie123 Group Title

Thank You! Your a GREAT teacher!

20. tcarroll010 Group Title

You're a great student and a pleasure to work with!

21. minnie123 Group Title

:D