If `a,b,c` are in A.P., then `((a-c)^2)/((b^2-a c)=`

If a,b,c are in A.P., then a^2(b+c)+b^2(c+a)+c^2(a+b) is equal to

If a^(2), b^(2), c^(2) are in A.P., then (a)/(b + c) , (b)/(c + a), (c )/(a + b) are in

If a,b,c are in A.P., then show that (i) a^2(b+c), b^2(c+a), c^2(a+b) are also in A.P.

If a, b, c are In A.P., then show that, a^(2)(b+c), b^(2)(c+a), c^(2)(a+b) are in A.P. (ab+bc+ca != 0)

If a/b , b/c , c/a are in H.P., then (a)a^2b,c^2a,b^2c are in A.P. (b)a^2b, b^2c,C62a are in H.P. (c)a^2b,b^2c,c^2a are in G.P. (d) none

If a, b, c are in A.P., prove that : (b+c)^2-a^2, (c+a)^2-b^2, (a+b)^2-c^2 are also in A.P.

If a, b, and c are in A.P then (a + 2b -c) . ( 2b +c-a) . (c+a-b) = ............. .

If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" are also in A.P."