Question

(iv) (1001)
3
$(1001) {?}^{3}$
​

Answer 1

ok so let's do the long way

$(1001) ^{3} \\ forumula \: \\ {(a + b)}^{3} = \\ {a}^{3} + {b}^{3} + 3ab(a + b)$

$now \: lets \: put \\ 1001 \: in \: the \\ form \: of \: \\ a + b$

$(1000 + 1) ^{3} \\ 1000 ^{3} + {1}^{3} + 3 \times 1000(1001)$

$1000000000 + 1 + 3000(1001) \\ 1000000001 + 3003000 \\ = 1003003001 \\ final \: answer \: \\ remember \: formula$