Question

Evaluate without actual multiplication.
$999\times 999$

• A. $998001$
• B. $998021$
• C. $989001$
• D. None of the above

Answer 1

Answer: (A)

$998001$

The value of $999\times 999$ is

$=(1000-1)(1000-1)$

$=(1000-1{)}^2$

We know that suitable identities $(x-y{)}^2=x^2-2xy+y^2$

Thus $(1000-1{)}^2$ $=(1000{)}^2-2(1000\left)\right(1)+(1{)}^2$

$=1000000-2000+1$

$=998001$