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Question


217 x 217 + 183 x 183 = ?



Options:
A .  79698
B .  80578
C .  80698
D .  81268
Answer: Option B


(217)2 + (183)2
= (200 + 17)2 + (200 - 17)2
= 2 x [(200)2 + (17)2]  [Ref: (a + b)2 + (a - b)2 = 2(a2 + b2)]
= 2[40000 + 289]
= 2 x 40289
= 80578.



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