MCQ
$(a-b)^3+(b-c)^3+(c-a)^3$ is equal to
- A$2 a^3+2 b^3+2 c^3$
- B(a-b)(b-c)(c-a)
- C0
- D3(ab)(bc)(c-a)
✓
Answer
D. 3(a-b)(b-c)(c-a)
We observe that $(a-b)+(b-c)+(c-a)=0$.
\[\therefore \quad(a-b)^3+(b-c)^3+(c-a)^3=3(a-b)(b-c)(c-a)\]
We observe that $(a-b)+(b-c)+(c-a)=0$.
\[\therefore \quad(a-b)^3+(b-c)^3+(c-a)^3=3(a-b)(b-c)(c-a)\]
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