Question

if 2(a²+b²) =(a+b)² prove that a=b​

Answer 1

Given,

2(a²+b²) =(a+b)²

2a² + 2b² = a² + b² + 2ab

2a² - a² + 2b² - b² = 2ab

a² + b² - 2ab = 0

Using the identity, a² + b² -2ab = (a-b)²

(a - b)² = 0

or, (a - b) = √0

or, a = b

Hence Proved!