यदि a, b, c, d गुणोत्तर श्रेढ़ी में है, तो सिद्ध कीजिए कि -
`(a+b+c+d)^(2)=(a+b)^(2)+2(b+c)^(2)+(c+d)^(2)`

(a+ b + c- d)^2-(a-b-c+d)^2 =?

If a ,b,c , d are in G.P. prove that (a-d)^(2) = (b -c)^(2)+(c-a)^(2) + (d-b)^(2)

If a, b, c, d are in GP, prove that (b-c)^(2)+(c-a)^(2)+(d-b)^(2)=(a-d)^(2) .

If a, b, c and 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 continued proportion, then prove that (b -c)^(2) + (c -a)^(2) + (b-d)^(2) = (a -d)^(2)

If a, b, c, d are in G.P., then prove that: (b-c)^(2)+(c-a)^(2)+(d-b)^(2)=(a-d)^(2)

The positive square root of ((a + b) ^(2) - (c + d) ^(2))/( (a + b) ^(2) - (c - d ) ^(2)) xx ((a + b + c) ^(2) - d ^(2))/( (a + b -c ) ^(2 ) - d ^(2)) using factorisation is:

If a, b, c and d are in G.P., show that, (a-b)^(2), (b-c)^(2), (c-d)^(2) are in G.P.