The sum of cubes of two positive numbers is same as the cube of their sum. The two numbers are not equal to zero. What is the sum of the
two numbers?
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sum of cubes of two positive numbers = a³ + b³
cube of their sum = (a+b)³
The sum of cubes of two positive numbers is same as the cube of their sum
a³ + b³= (a+b)³
a³ + b³ = a³ + b³ +3ab(a+b)
3ab(a+b) = 0
(a+b) = 0
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