Algebrahard · Past Paper

Factorize: (a+b)^3 - (a-b)^3

A2b(3a^2+b^2)
B2a(a^2+3b^2)
C6a^2b+2b^3
DBoth a and c

✓ Correct Answer: DBoth a and c

Expansion gives (a^3+3a^2b+3ab^2+b^3) - (a^3-3a^2b+3ab^2-b^3) = 6a^2b + 2b^3 = 2b(3a^2+b^2).

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