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Question

(87 x 87 + 61 x 61 - 2 x 87 x 61 = ?


Options:
A .  476
B .  576
C .  676
D .  776
Answer: Option C

Given Exp. =` (87)^2 + (61)^2` - 2 x 87 x 61

                  = `(a^2 + b^2 - 2ab)  ` where  a = 87 and  b =  61.

                  =` (a - b)^2 = (87 - 61)^   = (26)^2 =   (20 + 6)^2`

                     = `(20)^2 + (6)^2` + 2 x 20 x 6 = 400 + 36 + 240)

                      = 676.




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