If x+y=25 and x2y3 + y2x3=25, what is the value of xy?

• xy=1
  As x+y=25
  x2y3+y2x3=25
  x2y2(y+x)=25
  Substituting x+y
  x2y2=1
  xy=1
• 9 years agoHelpfull: Yes(23) No(0)
• x2y3+y2x3=25- (1)
  taking common x2y2 on L.H.S x2y2(y+x)=25
  x+y=25 given substitute the value in equation 1,x2y2=1=>xy=1
• 9 years agoHelpfull: Yes(2) No(1)
• 25=25(xy-x^2y^2)
  =>(xy)^2/xy=1
  
  =>xy=1
  
• 9 years agoHelpfull: Yes(1) No(0)