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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 ☺️
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