Question

a and b are integers such that a^3 + b^3 = (a+b)^3
Find the values of a and b

Answer 1

a^3 + b^3 + 3ab(a+b) = (a+b)^3
According to question
3ab(a+b) =0
a= - b

Answer 2

a³ + b³ = (a + b)³

=> a³ + b³ = a³ + b³ + 3ab(a + b)

=> 0 = (3ab) (a + b)

=> 0 = 3a²b + 3ab²

=> 3a²b = -3ab²

=> a = -b


I hope this will help you

-by ABHAY