text: # |(x^2 y^3)/(x^4+y^4 )| ≤|x|+|y|
  
  1
  
  2015-04-29T02:41:01+05:30
  
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  ( x² - y² )² >= 0
  x⁴ + y⁴ - 2 x² y² >= 0
  x⁴ + y⁴  >=  2 x² y²
  
  (x⁴ + y⁴) |y|  >=  2 x² y² |y|  >= 2 x² y³      ---- (1)
  
  further, we also see that  (x⁴ + y⁴) ( |y| + |x| )  >=  2 x² y³ + 2 x³ y²
  
  Thus we see clearly that,  from  (1)
  
  | (x² y³ ) / (x⁴ + y⁴) |  <=  |x| + |y|