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

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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)). | 11 | SEQUENCE AND SERIE... If a, b, c are in A.P., prove that a^(3)+4b^(3)+c^(3)=3b(a^(2)+c^(2)). | 11 | SEQUENCE AND SERIE...
If `a ,b ,c` are in A.P., then prove that: `(a-c)^2=4(b^2-a c)`, `a^3+4b^3+c^3=3b(a^2+c^2)` If `a ,b ,c` are in A.P., then prove that: `(a-c)^2=4(b^2-a c)`, `a^3+4b^3+c^3=3b(a^2+c^2)`
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a b c are all non zero and a+b+c=0 prove that a^2/bc+b^2/ac+c^2/ab=3 abc are non zero and a+b+c=0 a b c are all non zero and a+b+c=0 prove that a^2/bc+b^2/ac+c^2/ab=3 abc are non zero and a+b+c=0