## minnie123 3 years ago ***Help Wanted*** ***Medal and Fan Earned*** *** Attachment Below*** ***Change the following mixed expression to a fraction***

1. minnie123

2. UnkleRhaukus

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

3. tcarroll010

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

4. tcarroll010

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

5. UnkleRhaukus

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

6. UnkleRhaukus

factorize *

7. minnie123

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)(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

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

10. tcarroll010

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

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

12. UnkleRhaukus

but your solution does not yield the simplified fraction

13. minnie123

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

14. tcarroll010

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

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

16. minnie123

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

17. tcarroll010

Yes!

18. tcarroll010

Good job!

19. minnie123

Thank You! Your a GREAT teacher!

20. tcarroll010

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

21. minnie123

:D