Math, asked by udaysingh3, 1 year ago

find 27x^3 +8y^3 if 3x+2y =14 and xy =8

Answers

Answered by abhi569
115
3x+2y = 14

cube on both sides,

(3x+2y)^3 =14^3 

27x^3 +8y^3 +3(3x*2y)[3x+2y] = 2744

27x^3 +8y^3 +[3*(6)(xy)(14)] = 2744

27x^3 +8y^3 + [18*14*8] = 2744


27x^3 +8y^3 = 2744 - 2016

27x^3 +8y^3 = 728 




i hope this will help you 



- by ABHAY
Answered by Alvin716
20

3x+2y = 14

cube on both sides,

(3x+2y)^3 =14^3  

27x^3 +8y^3 +3(3x*2y)[3x+2y] = 2744

27x^3 +8y^3 +[3*(6)(xy)(14)] = 2744

27x^3 +8y^3 + [18*14*8] = 2744

27x^3 +8y^3 = 2744 - 2016

27x^3 +8y^3 = 728  

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