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Albert0898
 one year ago
if x^2y^2=12 and xy=4 what is the value of x^2+2xy+y^2
a. 3
b. 8
c. 9
d. 12
e. 16
Albert0898
 one year ago
if x^2y^2=12 and xy=4 what is the value of x^2+2xy+y^2 a. 3 b. 8 c. 9 d. 12 e. 16

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myininaya
 one year ago
Best ResponseYou've already chosen the best response.1you could factor x^2y^2 and then use what xy is equal to to find x+y

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1then recall x^2+2xy+y^2 can be written as (x+y)^2

Albert0898
 one year ago
Best ResponseYou've already chosen the best response.0Erm.... Well here's what I did so far... I did (xy)^2 and got x^2  2xy + y^2 = 16 I don't know what else to do

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1well can you try what I said?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1x^2y^2 can be factored

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1it is a difference of squares

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1you are given the value of xy this will allow you to find x+y

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1and then all you have to do after finding x+y is find (x+y)^2

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1So have you factored x^2y^2 yet?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1\[x^2y^2=12 \\ (xy)(x+y)=12 \\ \text{ you are given } xy=4 \\ \text{ just plug in } \\ 4(x+y)=12\] \[\text{ and you want to find } (x+y)^2\]

Albert0898
 one year ago
Best ResponseYou've already chosen the best response.0Ahh!! Now I understand it. Thank you!
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