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If the expression \( 4c + 4b + 4d \) is subtracted from \( 3c + 4b + 5d \), then the answer will be

  • A.−c + d
  • B.c + d
  • C.2c - 4d
  • D.3c + 2b - 5d

Answer: A

Subtracting flips every sign in the expression being taken away.

\[ (3c + 4b + 5d) - (4c + 4b + 4d) \]

\[ = (3c - 4c) + (4b - 4b) + (5d - 4d) \]

\[ = -c + d \]

The \( b \) terms cancel exactly, which is why no \( b \) survives.

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