Question

if 2(a²+b²)=(a+b)²then show that a=b

Answer 1

Hii...

consider, a=b

2(a^2+b^2)=(a+b)^2

2(a^2+a^2)=(a+a)^2

2(2a^2)=(2a)^2

4a^2=4a^2


hence proved...

Answer 2

$\textbf{ Hello Mate! }$

2( a² + b² ) = ( a + b )²

2a² + 2b² = a² + b² + 2ab

Taking RHS to LHS

2a² - a² + 2b² - b² - 2ab = 0

a² + b² - 2ab = 0

( a - b )² = 0

a - b = √0

a = b

$\boxed{ Hence \: Proved }$

Have great future ahead!