Question

if 2(a²+b²) = (a+b)². show that a=b

Answer 1

here is your answer.

Answer 2

Hey friends!!

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Here is your answer↓

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To prove:- 2(a²+b²)= (a+b)² => a=b.

→ 2(a²+b²)=(a+b)².

=> 2[(a+b)²-2ab]=(a+b)²

=> 2(a²+b²+2ab-2ab)= a²+b²+2ab.

=> 2a²+2b²=a²+b²+2ab.

=> 2a²-a²+2b²-b²=2ab.

=> a²+b²-2ab=0.

=> (a-b)²=0. [a²+b²-2ab=(a²-b²).

=> a-b=√0.

=> a-b=0.

=> a=b.

Hence ,it is proved.

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