Question

Prove a^3 + b^3 + 8c^3 = 6abc

Answer 1

Step-by-step explanation:

consider,

a+b+2c=0

now,

a+b=-2c

c.o.B.s

(a+b)^3=-8c^3

a^3+b^3+3ab(a+b)=-8c^3

as we know that,

a+b=-2c

so,

a^3+b^3+3ab(-2c)=-8c^3

a^3+b^3-6abc=-8c^3

so,

a^3+b^3+8c^3=6abc