Question

a:b=c:d if that shows
(a2+ab+b2) : (a2-ab+b2) = (c2+cd+d2):(c2-cd+d2) prove it. ​

Answer 1

Answer:

Let a/b = c/d = k. ⇒ a = bk and c = dk. L.H.S. = (a – c)b2/(b – d)cd = (bk – dk)b2/(b – d)dk.d. = b2.k(b – d)/d2k(b – d) = b2/ d2.