Question

Evaluate: i) (104)3           ii) (999)3
tell me the answer fast​

Answer 1

(a - b)3 = a3 - b3 - 3a2b + 3ab2

(999)3 = (1000)3 - (1)3 - 3 (1000)2  1 + 3  1000 12

= 1000000000 - 1 - 3000000 + 3000

= 997000000 + 3000 - 1 = 997002999

Answer 2

Answer:

104^{3} = 1,124,864

999^{3} = 997,002,999

Step-by-step explanation:

 $104^{3} \\(100 + 4)^{3}$

use formula $(a+b)^{3} = a^{3} + b^{3} + 3a^{2}b + 3ab^{2}$

$100^{3} + 4^{3} + 3*100^{2}*4 + 3*100*4^{2}$

1000000 + 64 + 120000 + 4800

1,124,864

----------------------

 $999^{3} \\(1000 -1)^{3}$

use formula $(a-b)^{3} = a^{3} - 3a^{2}b + 3ab^{2} - b^{3}$

$1000^{3} - 3*1000^{2}*1 + 3*1000*1^{2} -1^{3}$

1000000000 - 3000000 + 3000 - 1

997,002,999