Question:If (x + y) : (x - y) = 4 : 1, then `(x^2 + y^2) : (x^2 - y^2) = ?` 

A 25 : 9 
B 16 :1 
C 8 : 17 
D 17 : 8 

+ Answer
D 

+ Explanation
`(x + y)/(x - y) = 4/1 => x + y`

`= 4x - 4y => 3x = 5y => x/y = 5/3.`

`:. (x^2 + y^2)/(x^2 - y^2)`

`= (x^2/(y^2) + 1)/(x^2/(y^2) - 1)`

`= ((x/y)^2 + 1)/((x/y)^2 - 1)`

`= 34/16 = 17/8`

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