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...
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If a,b,c,dare in G.P., then show that `(a+b)^2, (b+c)^2, (c+d)^2` are in G.P. If a,b,c,dare in G.P., then show that `(a+b)^2, (b+c)^2, (c+d)^2` are in G.P.
If a,b,c,d………are in G.P., then show that `(a+b)^2, (b+c)^2, (c+d)^2` are in G.P. If a,b,c,d………are in G.P., then show that `(a+b)^2, (b+c)^2, (c+d)^2` are in G.P.
If \( a, b, c, d \) are in G.P., show that \[ (b-c)^{2}+(c-a)^{2}+(d-b)^{2}=(a-d)^{2} . \] If \( a, b, c, d \) are in G.P., show that \[ (b-c)^{2}+(c-a)^{2}+(d-b)^{2}=(a-d)^{2} . \]