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Sum of 2a + b + 5c and -5a - 2b + 3c is

  • A.−3a - b - 8c
  • B.3a + b + 8c
  • C.−3a - b + 8c
  • D.3a + b - 8c

Answer: C

Add the like terms.

\[ a: \ 2 - 5 = -3 \]

\[ b: \ 1 - 2 = -1 \]

\[ c: \ 5 + 3 = 8 \]

\[ \therefore\ -3a - b + 8c \]

The \( c \) terms are both positive, so that coefficient grows while the other two turn negative.

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