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Solution
Expression : $$(213\times213+187\times187)$$
= $$(200+13)^2+(200-13)^2$$
= $$[(200)^2+(13)^2+2(200)(13)]+[(200)^2+(13)^2-2(200)(13)]$$
= $$[2\times(200)^2]+[2\times(13)^2]$$
= $$80000+338=80338$$
=> Ans - (A)
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