101 Ã— 101 + 99 Ã— 99 = ? Choose one:
A) 10002
B) 20004
C) 20002
D) 20102
E) 20202
Explanation :   (a + b)2 + (a âˆ’ b)2 = 2(a2 + b2)   (Reference : Basic Algebraic Formulas)   1012 + 992 = (100 + 1)2 + (100 âˆ’ 1)2 = 2(1002 + 12) = 2(10000 + 1) = 20002. Answer : Option 20002
<result>C</result>
101 Ã— 101 + 99 Ã— 99 = ?