217 x 217 + 183 x 183 = ?

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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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