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(a – b)3 + (b – c)3 + (c – a)3 is equal to :-
- a)3abc
- b)3a3b3c3
- c)3(a – b) (b – c) (c – a)
- d)[a – (b + c)]3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
(a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a...
Let x = (a – b), y = (b – c) and z = (c – a)
Consider, x + y + z = (a – b) + (b – c) + (c – a) = 0
⇒ x3 + y3 + z3 = 3xyz
That is (a – b)3 + (b – c)3 + (c – a)3 = 3(a – b)(b – c)(c – a)
Consider, x + y + z = (a – b) + (b – c) + (c – a) = 0
⇒ x3 + y3 + z3 = 3xyz
That is (a – b)3 + (b – c)3 + (c – a)3 = 3(a – b)(b – c)(c – a)
Most Upvoted Answer
(a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a...
Let x = (a – b), y = (b – c) and z = (c – a)
Consider, x + y + z = (a – b) + (b – c) + (c – a) = 0
⇒ x3 + y3 + z3 = 3xyz
That is (a – b)3 + (b – c)3 + (c – a)3 = 3(a – b)(b – c)(c – a)
Consider, x + y + z = (a – b) + (b – c) + (c – a) = 0
⇒ x3 + y3 + z3 = 3xyz
That is (a – b)3 + (b – c)3 + (c – a)3 = 3(a – b)(b – c)(c – a)
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(a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a...
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(a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a3b3c3c)3(a – b) (b – c) (c – a)d)[a – (b + c)]3Correct answer is option 'C'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about (a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a3b3c3c)3(a – b) (b – c) (c – a)d)[a – (b + c)]3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a3b3c3c)3(a – b) (b – c) (c – a)d)[a – (b + c)]3Correct answer is option 'C'. Can you explain this answer?.
(a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a3b3c3c)3(a – b) (b – c) (c – a)d)[a – (b + c)]3Correct answer is option 'C'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about (a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a3b3c3c)3(a – b) (b – c) (c – a)d)[a – (b + c)]3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (a – b)3+ (b – c)3+ (c – a)3is equal to :-a)3abcb)3a3b3c3c)3(a – b) (b – c) (c – a)d)[a – (b + c)]3Correct answer is option 'C'. Can you explain this answer?.
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