The expression "a plus b whole cube" refers to (a+b)3(a+b)^3(a+b)3.
Expansion of (a+b)3(a+b)^3(a+b)3
Using the binomial theorem, the expansion 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.
- 3a2b3a^2b3a2b is three times the square of the first term times the second term.
- 3ab23ab^23ab2 is three times the first term times the square of the second term.
- b3b^3b3 is the cube of the second term.
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