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Simplify a(b – 2c) + 2b(c – 2a) + c(3a – 2b).
  • a)
    2ab – ac
  • b)
    ab – ac
  • c)
    ac – 3ab
  • d)
    ab – 3ab
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Simplify a(b – 2c) + 2b(c – 2a) + c(3a – 2b).a)2ab &...
 a(b – 2c) + 2b(c – 2a) + c(3a – 2b)
= ab – 2ac + 2bc – 4ab + 3ac – 2bc
= ac – 3ab
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Most Upvoted Answer
Simplify a(b – 2c) + 2b(c – 2a) + c(3a – 2b).a)2ab &...

Expanding and Simplifying the Expression:

1. Expanding the given expression:
a(b - 2c) + 2b(c - 2a) + c(3a - 2b)
= ab - 2ac + 2bc - 4ab + 3ac - 2bc
= ab - 4ab + 2bc - 2bc - 2ac + 3ac
= -3ab + ac

2. Simplifying the expression:
-3ab + ac can be further simplified by factoring out the common term 'a':
= a(-3b + c)
= ac - 3ab

Therefore, the simplified form of the given expression is ac - 3ab.
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Simplify a(b – 2c) + 2b(c – 2a) + c(3a – 2b).a)2ab – acb)ab – acc)ac – 3abd)ab – 3abCorrect answer is option 'C'. Can you explain this answer?
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