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