(ii)(a+2b)2+(a-2b)2=2(a²+4b2)
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Step-by-step explanation:
(a + 2b)² + (a – 2b)² = 2(a² + 4b²)
= We know, (x + y) 2 + (x - y) 2 = 2 (x2 + y2)
Left, (a + 2b) 2 + (a - 2b) 2
= 2 {(a) 2 + (2b) 2} [here, x = a, y = 2b]
= 2 (a2 + 4b2) = right
Left = Right [Proven]
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