show that if 2(a²+b²)=(a+b)² then a=b
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Answered by
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Step-by-step explanation:
2(a2+b2) =(a+b)2
2a2+2b2=a2+b2+2ab
2a2-a2+2b2-b2=2ab
a2+b2=2ab
a2+b2-2ab=0
(a-b)2=0
a-b =0
a=b (hence proved)
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