Question

Evaluate :${202}^2$

• A. $80,404$
• B. $40,800$
• C. $40,804$
• D. $40,404$

Answer 1

The correct option is C $40,804$

Using the identity $(a+b{)}^2=a^2+2ab+b^2$, we have
$(202{)}^2$ $=(200+2{)}^2$
$=(200{)}^2+2(200\left)\right(2)+(2{)}^2$
$=40000+800+4$
$=40,804$