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If x+y= 7 & xy=12 then …

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If x+y= 7 & xy=12 then the value x³ +y³
  • 2 answers

Gaurav Seth 6 years, 4 months ago

Q: If x+y= 7 & xy=12 then the value x³ +y³

Explanation is as follows:

(x+y)^3=x^3+3x^2y+3xy^2+y^3

= x^3+y^3+3xy(x+y)

x^3+y^3=(x+y)^3-3xy(x+y)

= (12)^3-3(27)(12)

=1728-972

x^3+y^3=756
 

Renuka Seiwal 6 years, 4 months ago

(X+y)(x+y)=7×7=49,2xy=2×12=24, So the ans is 49-24=25,by formula
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