Question

if a,b,c are in continued proportion,prove that (a^2-b^2)(b^2+c^2)=(b^2-c^2)(a^2+b^2)​

Answer 1

Answer:

a^2 b^2+a^2 c^2-b^4-b^2 c^2=a^2 b^2+b^4-a^2 c^2-b^2 c^2

a^2 b^2-b^2 c^2=a^2 b^2-b^2 c^2

L.H.S = R.H.S

HENCE PROVED