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217 x 217 + 183 x 183 =?

Correct Answer: 80578

Explanation:

(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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