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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[`(200)^2` + `(17)^2`]            `because [( a + b)^2 + (a - b)^2    = 2(a^2 + b^2)]`                  

                               2[40000 + 289 ] = ( 2 x 40289)  = 80578




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