Question 2

Simplify: (213 x 213 + 187 x 187)

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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