risavnepal25
risavnepal25 risavnepal25
  • 29-05-2022
  • Mathematics
contestada

if x-y=5 and xy=4,find the value of x3-y3​

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loneguy
loneguy loneguy
  • 29-05-2022

[tex]\text{Given that,} ~ x-y = 5~ \text{amd}~ xy = 4\\\\\text{Now,}\\\\x^3 -y^3\\\\=(x-y)(x^2 +xy+y^2)\\\\=(x-y)[(x-y)^2 +2xy +xy]\\\\=(x-y)[(x-y)^2 +3xy]\\\\=5(5^2+3\cdot 4)\\\\=5(25+12)\\\\=5(37)\\\\=185[/tex]

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