Question

Find the square of the following number.

$97$

Answer 1

Square of 97

${97}^2=(100-3{)}^3$

we know ${(a-b)}^2=a^2+b^2-2\times a\times b$

$\Rightarrow {(100-3)}^2={100}^2+3^2-2\times 100\times 3\Rightarrow 10000+9-600=9409$