Question

Expand the following using suitable I nd entities {a/b + b/c + c/a}2

Answer 1

$\bigstar$ Question:

• Expand the following using suitable Identities (a/b + b/c + c/a)².

$\bigstar$To find:

• Expand (a/b + b/c + c/a)²

$\bigstar$ Answer:

• Here, we can use :

$\rightarrow$ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

• Now,

(a/b + b/c + c/a)²

(By using (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca)

= (a/b)² + (b/c)² + (c/a)² + 2(a/b) (b/c) + 2(b/c) (c/a) + 2(c/a) (a/b)

= a²/b² + b²/c² + c²/a² + 2(ab/bc) + 2(bc/ca) + 2(ca/ab)

$\therefore$ the expanded form of (a/b + b/c + c/a)² is a²/b² + b²/c² + c²/a² + 2(ab/bc) + 2(bc/ca) + 2(ca/ab)