Question

factorise 102^3 ... . . . . ​

Answer 1

Answer:

(100+2)³

1000000+8+3*100*2(100+2)

1000008+600*102

1000008+61200

1061208

Answer 2

it can be written as

$= \: {(100 + 2)}^{3}$

So by using identity

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b)$

So, according to question

$= {(100)}^{3} + {2}^{3} + 3 \times 100 \times 2(100 + 2)$

$= 1000000 + 8 + 302 ×100+302×2 \\ = 1000008 + 30804 \\ \\ = 1030812$