# SOLUTION: 1) Find the value of (x+y)^2 if x^2 - y^2 = -12 and y-x = 2 2) Given that (x+y)^2 = 289 and x^2 + y^2 =157 , determine the value of (x-y)^2

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: 1) Find the value of (x+y)^2 if x^2 - y^2 = -12 and y-x = 2 2) Given that (x+y)^2 = 289 and x^2 + y^2 =157 , determine the value of (x-y)^2      Log On

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 Algebra: Expressions involving variables, substitution Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Expressions-with-variables Question 481135: 1) Find the value of (x+y)^2 if x^2 - y^2 = -12 and y-x = 2 2) Given that (x+y)^2 = 289 and x^2 + y^2 =157 , determine the value of (x-y)^2Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!1) Find the value of (x+y)^2 if x^2 - y^2 = -12 (x+y)(x-y)=-12..........1 and y-x = 2 x-y=-2..............2 substitute x-y in (1) (x+y)(-2)=-12 (x+y)=-12/-2 (x+y)=6 (x+y)^2= 36 ............. 2) Given that (x+y)^2 = 289 x^2+2xy+y^2=289 x^2+y^2=157 157+2xy=289 2xy=289-157 2xy=132 and x^2 + y^2 =157 , determine the value of (x-y)^2 x^2-2xy+y^2 (x^2+y^2)-2xy x^2 + y^2 =157, 2xy = 132 157-132= 25 m.ananth@hotmail.ca