If `a,b,c` are in A.P., prove that `8b^3-a^3-c^3=3a c(a+c)`

If a,b,c are in A.P.,prove that 8b^(3)-a^(3)-c^(3)=3ac(a+c)

If a,b,c are in A.P.,prove that - a^3-8b^3+c^3+6abc=0

If a, b, c are in A.P., prove that : a^3+4b^3+c^3=3b (a^2+c^2) .

If a, b, c are in A.P., prove that a^(3)+4b^(3)+c^(3)=3b(a^(2)+c^(2)).

If a, b, c are in A.P., prove that a^(3)+4b^(3)+c^(3)=3b(a^(2)+c^(2)).

If a,b,c, are in AP, prove that a^(3) + 4b^(3)+c^(3)= 3b (a^(2)+c^(2))

If a ,b ,c are in A.P., prove that: i. (a-c)^2=4(a-b)(b-c) ii. a^2+c^2+4a c=2(a b+b c+c a) iii. a^3+c^3+6a b c=8b^3

If a,b,c are in A.P.,prove that: (a-c)^(2)=4(a-b)(b-c)a^(2)+c^(2)+4ac=2(ab+bc+ca)a^(3)+c^(3)+6abc=8b^(3)

If a ,b ,c are in A.P., prove that 1/(b c),1/(c a),1/(a b), is also in A.P.

If a, b, c are in H.P., prove that, a(b+c), b(c+a), c(a+b) are in A.P.