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What will be the sum of cubes of sum of integer and its square for all possible value of integer ?

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The cube of sum of a positive integer and its square is a five digit number.
What will be the sum of cubes of sum of integer and its square for all possible value of integer ?

posted Feb 13, 2015 by Tapesh Kulkarni

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1 Answer

+2 votes
 
Best answer

(a+a^2)^3=five digit number
a= 5,6 satisfy the condition
Therefore,
(5+25)^3=27000
(6+36)^3=74088
sum of the above two numbers 74088+27000 =101088

answer Feb 13, 2015 by Abhishek Porwal



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