Question

Evaluate the following by using identities:

$(97{)}^2$

Answer 1

$(97{)}^2=(100-3{)}^2$
Using identity,$(a-b{)}^2=a^2-2ab-b^2$
$=(100{)}^2-2\times 100\times 3+(3{)}^2$
$=10000-600+9=9409$