Question

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

Answer 1

Answer:

ac+cd +ad

Step-by-step explanation:

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

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

ab+ac+b^2-bc-ab-ad+bc-cd =b^2-2(b)(c)+ c^2

b^2+ab-ab+bc+bc+ac+cd+ad=b^2-2bc+c^2

b^2+2bc+ac+cd+ad/b^2-2bc+c^2

ac+cd+ad ANS

Answer 2

Answer:

heyy there is a correction in the question kindly note it.

Step-by-step explanation:

hope it helps.