Question

If x^a.x^b.x^c=1 then find the value of a^3+b^3+c^3

Answer 1

Answer:

hope you get your answer

Step-by-step explanation:

=>x^a . x^b . x^c=1

=>x^(a+b+c)=1

=>x^(a+b+c)=x^0

=>a+b+c=0

=>a+b=-c

=>(a+b)^3=(-c)^3

=>a^3+b^3+3ab(a+b)=(-c)^3

but a+b=-c, So

=>a^3=b^3+3ab(-c)=-c^3

=>a^3+b^3+c^3=3abc