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Question

107 x107 + 93 x 93 = ?


Options:
A .  19578
B .  19418
C .  20098
D .  21908
E .  none of these
Answer: Option C

107 x 107 + 93 x 93= `(107)^21` +`(93)^2` = `(100 +7)^2` +`(100-7)^2`

                                = 2 x [`(100)^2` +`7^2`] = 2(10000+ 49) = 2 x 10049 = 20098

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




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