If a,b,c are in G.P., then show that `a(b-c)^2=c(a-b)^2`

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If a,b,c are in G.P., then show that `a(b-c)^2=c(a-b)^2` If a,b,c are in G.P., then show that `a(b-c)^2=c(a-b)^2`
If a,b,c are in G.P., then show that a(b-c)^2=c(a-b)^2 | 12 | GP - FOR BOARDS | MATHS | KC SINHA... If a,b,c are in G.P., then show that a(b-c)^2=c(a-b)^2 | 12 | GP - FOR BOARDS | MATHS | KC SINHA...
If `a ,b ,c` are in G.P. then prove that `(a^2+a b+b^2)/(b c+c a+a b)=(b+a)/(c+b)` If `a ,b ,c` are in G.P. then prove that `(a^2+a b+b^2)/(b c+c a+a b)=(b+a)/(c+b)`
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If a, b, c, d and p are different real numbers such that:(a^2 + b^2 + c^2) p^2 – 2 (ab + bc + cd) p If a, b, c, d and p are different real numbers such that:(a^2 + b^2 + c^2) p^2 – 2 (ab + bc + cd) p
If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a b+b c+c d)^2 . a, b, c, d → ... If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a b+b c+c d)^2 . a, b, c, d → ...
If a, b, c and d are in G.P. show that (a^2 + b^2 + c^2)(b^2 + c^2 + d^2) = (ab + bc + cd)^2. If a, b, c and d are in G.P. show that (a^2 + b^2 + c^2)(b^2 + c^2 + d^2) = (ab + bc + cd)^2.
If `a, b, c` are in A.P, then show that: `\ b c-a^2,\ c a-b^2,\ a b-c^2` are in A.P. If `a, b, c` are in A.P, then show that: `\ b c-a^2,\ c a-b^2,\ a b-c^2` are in A.P.