Question

Using identities, evaluate ${102}^2$

• A. $10404$
• B. $10123$
• C. $19345$
• D. $19456$

Answer 1

The correct option is A $10404$

${102}^2$
$=(100+2{)}^2$
Using,
$(a+b{)}^2=a^2+2ab+b^2$ we get,
$=(100{)}^2+2(100\left)\right(2)+(2{)}^2$
$=10000+400+4$
$=10404$