a minus b whole cube formula

5 hours ago 3
Nature

The formula for (a−b)3(a-b)^3(a−b)3 (a minus b whole cube) is:

(a−b)3=a3−3a2b+3ab2−b3(a-b)^3=a^3-3a^2b+3ab^2-b^3(a−b)3=a3−3a2b+3ab2−b3

Explanation:

  • a3a^3a3 is the cube of the first term.
  • −3a2b-3a^2b−3a2b is three times the square of the first term times the second term.
  • +3ab2+3ab^2+3ab2 is three times the first term times the square of the second term.
  • −b3-b^3−b3 is the cube of the second term.

This is a standard binomial expansion formula for the difference of cubes.