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c-b=b-a
2b=a+c
b=(a+c)/2
a^3+c^3-8b^3=a^3+c^3-8 ((a+c)/2)^3
=a^3+c^3 - 8((a^3+3a^2c+3ac^2+c^3)/8) (since (a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3)
=a^3+c^3-a^3-3a^2c-3ac^2-c^3
=-3a^2c-3ac^2
=-3ac(a+c)
Or we can say
8b³-a³- c³ = 3ac(a+c)
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