Question

The solution of the following by using suitable identities:
${992}^2$ is -------

Answer 1

The given expression ${992}^2$ can be rewritten as $(1000-8{)}^2$ and we solve it as follows:

$(1000-8{)}^2=(1000{)}^2+(8{)}^2-(2\times 1000\times 8)(\because (a-b{)}^2=a^2+b^2-2ab)=1000000+64-16000=1000064-16000=984064$

Hence, ${992}^2=984064$.