Algebrahard · Past Paper
Find the value of (a-b)^3 + (b-c)^3 + (c-a)^3.
A0
B3(a-b)(b-c)(c-a)
C(a+b+c)^3
D3abc
✓ Correct Answer: B — 3(a-b)(b-c)(c-a)
If X+Y+Z=0, then X^3+Y^3+Z^3=3XYZ. Here (a-b)+(b-c)+(c-a)=0.
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