Question

Use identities to evaluate ${\left(101\right)}^2$

• A. $10,301$
• B. $12,301$
• C. $10,201$
• D. $12,201$

Answer 1

The correct option is C $10,201$

${\left(101\right)}^2$
Using,
$(a+b{)}^2=a^2+2ab+b^2$
$=(100+1{)}^2$
$=(100{)}^2+2(100\left)\right(1)+(1{)}^2$
$=10000+200+1$
$=10,201$