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The expression (α - b)3 + (b - c)3 + (c - α)3 can be factorised as 
  • a)
    (α - 7) (b - c) (c - α)
  • b)
    -3(α - b) (b - c) (c - α)
  • c)
    3(α - b) (b - c) (c - α)
  • d)
    (α + b + c) (α2 + b2 + c2 - αb - bc - cα)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The expression (α - b)3 + (b - c)3 + (c - α)3 can be facto...
Let α - b = A, b - c = B,  c - α = C
Then, A + B + C = (α - b) + (b - c)+(c - α) = 0
∴ A3 + B3 + C3 = 3ABC
⇒ 3(α - b)(b - c)(c - α)
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Question Description
The expression (α - b)3 + (b - c)3 + (c - α)3 can be factorised asa)(α - 7) (b - c) (c - α)b)-3(α - b) (b - c) (c - α)c)3(α - b) (b - c) (c - α)d)(α + b + c) (α2 + b2 + c2 - αb - bc - cα)Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The expression (α - b)3 + (b - c)3 + (c - α)3 can be factorised asa)(α - 7) (b - c) (c - α)b)-3(α - b) (b - c) (c - α)c)3(α - b) (b - c) (c - α)d)(α + b + c) (α2 + b2 + c2 - αb - bc - cα)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The expression (α - b)3 + (b - c)3 + (c - α)3 can be factorised asa)(α - 7) (b - c) (c - α)b)-3(α - b) (b - c) (c - α)c)3(α - b) (b - c) (c - α)d)(α + b + c) (α2 + b2 + c2 - αb - bc - cα)Correct answer is option 'C'. Can you explain this answer?.
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