Question

The solution of the following by using suitable identities:
${304}^2$ is ------

Answer 1

The given expression ${304}^2$ can be rewritten as $(300+4{)}^2$ and we solve it as follows:

$(300+4{)}^2=(300{)}^2+(4{)}^2+(2\times 300\times 4)(\because (a+b{)}^2=a^2+b^2+2ab)=90000+16+2400=92416$

Hence, ${304}^2=92416$.