Question

what will be the factorizationof 3-(81)3

Answer 1

Hey dear,

$3 - (81)3$
$3(1 - 81)$
$3 \: [ \: {(1)}^{2} - {(9)}^{2} \: ]$

As we know,
${x}^{2} - {y}^{2} = (x + y)(x - y)$
So,
$3(1 + 9)(1 - 9)$

Now again to factorize further,
$3(1 + 9)[ {(1)}^{2} - {(3)}^{2} \: ]$
So,
$3(1 + 9)(1 + 3)(1 - 3)$
So that is our final answer.

Hope it helps!