Formula for the Cube of a Difference (a - b)³
The formula for the cube of the difference between two terms aaa and bbb 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 multiplied by the second term.
- +3ab2+3ab^2+3ab2 is three times the first term multiplied by the square of the second term.
- −b3-b^3−b3 is the cube of the second term.
This formula helps in expanding expressions where you have the cube of a binomial difference.
