Question

solve this question​

Answer 1

ANSWER:-

Given:

2(a²+b²)= (a+b)²

To prove:

Show tha a=b.

Proof:

We know that, (a+b)²= a² + b² +2ab.

Therefore,

Take L.H.S

=) 2(a²+ b²)= (a+b)²

=) 2(a² + b²)= a² + b² +2ab

=) 2a² + 2b² = a² + b² + 2ab

=) 2a² -a² +2b² - b² = 2ab

=) a² + b² - 2ab =0

=) (a - b)² = 0 [As, (a - b)²]

=) a - b= 0

=) a = b [R.H.S.]

Proved.

Hope it helps ☺️