Simplify the Expression: 13a+14b+17c-4a-2b-4b Using Like Terms

To solve the problem, we should simplify the expression by combining like terms:

• Step 1: Identify like terms.
  • The terms involving $a$ are $13a$ and $-4a$.
  • The terms involving $b$ are $14b$, $-2b$, and $-4b$.
  • The term involving $c$ is $17c$.
• Step 2: Combine like terms by summing their coefficients:
  • For $a$-terms: $13a - 4a = (13 - 4)a = 9a$.
  • For $b$-terms: $14b - 2b - 4b = (14 - 2 - 4)b = 8b$.
  The $c$ term remains unchanged as $17c$.

Therefore, the simplified expression is $9a + 8b + 17c$.

Checking the choices provided, we see that the correct answer is $9a + 8b + 17c$, which matches choice .

Thus, the final simplified expression is $9a + 8b + 17c$.