Question

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***Change the following mixed expression to a fraction***

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

factorize *

Answer 6

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

Answer 7

(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.

Answer 8

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

Answer 9

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.

Answer 10

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

Answer 11

but your solution does not yield the simplified fraction

Answer 12

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

Answer 13

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.

Answer 14

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

Answer 15

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

Answer 16

Yes!

Answer 17

Good job!

Answer 18

Thank You! Your a GREAT teacher!

Answer 19

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

Answer 20

:D