Question

Find the value of ${52}^2$ using standard identity.

• A. $2604$
• B. $2704$
• C. $2804$
• D. $2904$

Answer 1

The correct option is B $2704$

Given, ${52}^2$

$=(50+2{)}^2$.

We know, $(a+b{)}^2=a^2+b^2+2ab$.

Then,
${52}^2=(50+2{)}^2$

$={50}^2+2^2+2\times 50\times 2$

$=2500+4+200$
$=2704$.

Therefore, option $B$ is correct.