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If algebraic expression is [4(a + 2b - 3c) - 3(2b - 3c)] + 2a then answer will be

  • A.7a - 3b +4c
  • B.6a + 2b - 3c
  • C.8a + 3b - 4c
  • D.9a + 2b + 5c

Answer: B

Expand each bracket, then collect.

\[ 4(a + 2b - 3c) = 4a + 8b - 12c \]

\[ -3(2b - 3c) = -6b + 9c \]

\[ (4a + 8b - 12c) + (-6b + 9c) + 2a = 6a + 2b - 3c \]

The \( -3 \) turns \( -3c \) into \( +9c \), which is what leaves only \( -3c \) at the end rather than \( -21c \).

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