. If A=x^3 y^2 and B=xy^3, then find the HCF of A, B

• A=x^3*y^2
  =x*x*x*y*y
  B=x*y^3
  =x*y*y*y
  
  HCF=comman terms from both A & B
  =x*y*y
  =x*y^2
• 10 years agoHelpfull: Yes(38) No(0)
• xy^2 ....because it is common..in both
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• xy^2 highest common factor
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• ANSWER
  HCF=xy^2
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• xy2 iis the right answer.
  
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• ans is xy^2
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• xy^2i e,,,,, commmon in both terms
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• a=x^3*y^2
  =x(x*y)^2
  b=x*y(x*y)^2
  so,H.C.F of both a,b is (x*y)^2
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• common terms are x*y^2
  hence HCF=x*y^2
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• Before proceeding to the steps.. we have to make an important assumption that x &y are coprimes...
  Then had is xy^2
• 8 years agoHelpfull: Yes(0) No(0)
• A=x^3 y^2
  B=xy^3
  it is clearly shown that
  hcf of (A,B) = xy^2
• 7 years agoHelpfull: Yes(0) No(0)