217 × 217 + 183 × 183 = ?
A. 79698
B. 80578
C. 80698
D. 81268
E. None of these
Answer: Option B
Solution (By Examveda Team)
= (217 × 217) + (183 × 183)= (217)2 + (183)2
= (200 + 17)2 + (200 - 17)2
= (a + b)2 + (a - b)2
= 2(a2 + b2), where a = 200, b = 17
= 2 [(200)2 + (17)2 ]
= 2 [40000 + 289]
= (2 × 40289)
= 80578
This Question Belongs to Arithmetic Ability >> Number System
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