Question

if acube +bcube =0 then get the relationship between a and b

Answer 1

It is given that a + b + c = 0

we know that-

a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ac)

a3 + b3 + c3 - 3abc = (0)(a2 + b2 + c2 - ab - bc - ac)

a3 + b3 + c3 - 3abc = 0

a3 + b3 + c3 = 3abc

Answer 2

a^3+b^3=(a+b)(a^2-ab+b^2)=0
a+b=0
a=-b

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