haresh123 haresh123
  • 11-09-2018
  • Mathematics
contestada

(n+1)^3-n^3=1+3 (n+1)n using this formulae find the cube of 999.If cube of 1000 is 1000000000.

Respuesta :

crisforp
crisforp crisforp
  • 11-09-2018

We use the formula: ( a - b )^3 = a^3 - b^3 - 3ab( a - b);

a = 1000; b = 1;

999^3 = 1000^3 - 1^3 - 3·1000·1( 1000 - 1 ) = 1000000000 - 1 - 3000·999 = 1000000000 - 1 - 2997000 = 997002999;

Answer Link

Otras preguntas

What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?
What is the silk road? What valuable products were traded on the silk road?