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What is the simplified value of  a(b – c) + b(c – a) + c(a – b)?
  • a)
    0
  • b)
    1
  • c)
    –1
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the simplified value of a(b – c) + b(c – a) + c(a ...
a(b – c) + b(c – a) + c(a – b)
= ab – ac + bc – ab + ac – bc = 0
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Most Upvoted Answer
What is the simplified value of a(b – c) + b(c – a) + c(a ...

Given Expression:
a(b – c) + b(c – a) + c(a – b)

Solution:

Step 1: Expand the given expression:
= ab - ac + bc - ab + ac - bc
= ab - ab + ac - ac + bc - bc
= 0

Step 2: Simplify the expression:
0

Therefore, the simplified value of the given expression a(b – c) + b(c – a) + c(a – b) is 0. Hence, option A is the correct answer.
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What is the simplified value of a(b – c) + b(c – a) + c(a – b)?a)0b)1c)–1d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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