Certainly! The expression for the cube of a difference (a−b)3(a-b)^3(a−b)3 can be expanded using the binomial theorem.
Formula for (a−b)3(a-b)^3(a−b)3
(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.
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