Question

evaluate (999) cube?​

Answer 1

Answer:

Step-by-step explanation:

We have,

$\tt{(999)^{3}}$

$\sf={(1000-1)^{3}}$

$\sf={(1000)^3-3\cdot(1000)^{2}\cdot(1)+3\cdot(1000)\cdot(1)^{2}-(1)^{3}}$

$\sf={1,00,00,00,000-3\cdot(10,00,000)\cdot(1)+3\cdot(1,000)\cdot(1)-(1)}$

$\sf={1,00,00,00,000-30,00,000+3,000-1}$

$\sf={1,00,00,03,000-30,00,001}$

$\sf{=99,70,02,999}$