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If 6x + 2y - 4z is subtracted from 2x - 8y + 5z then answer will be

  • A.−4x + 10 y + 9z
  • B.−4x + 10 y - 9z
  • C.4x + 10 y + 9z
  • D.−4x - 10 y + 9z

Answer: D

Subtracting flips every sign in the second expression.

\[ (2x - 8y + 5z) - (6x + 2y - 4z) \]

\[ = 2x - 8y + 5z - 6x - 2y + 4z \]

\[ = -4x - 10y + 9z \]

The \( -4z \) becomes \( +4z \), which is what makes the \( z \) coefficient \( +9 \).

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