Question

Use an expansion formula to find the values (997
$997 {}^{2}$
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Answer 1

Answer :

The expansion formula to find $997^2$

= $(997)^2$

=  $(1000-3)^2$  {by (a-b)²}

=  $(1000)^2+3^2-2(3000)$

= $1000000+9-6000$

=  $994009$

Answer 2

Answer:

994009

Step-by-step explanation:

Given expression,

$(997)^2$

∵ 997 = 1000 - 3,

$\implies (997)^2=(1000-3)^2$

By using algebraic property,

(a-b)² = a² - 2ab + b²,

$(1000-3)^2=(1000)^2-2\times 1000\times 3+3^2$

$=1000000-6000+9$

$=994009$

$\implies 997^2=994009$