Question

Using identities, evaluate:
${71}^2$.

• A. $5041$
• B. $3041$
• C. $6041$
• D. $2041$

Answer 1

The correct option is A $5041$

Given, ${71}^2$,

i.e. ${71}^2$ $=(70+1{)}^2$.

We know,

$(x+y{)}^2=x^2+y^2+2xy$.

Then,

${71}^2=(70+1{)}^2={70}^2+(2\times 70\times 1)+1^2=4900+140+1=5040+1=5041.$

Hence, ${71}^2=5041$.

Therefore, option $A$ is correct.