Simplify this expression by collecting like terms:15ab + 5bc − 6ac + 9 + 14ac − 5 − 5bc = ab + ac +

1. Break Down the Problem

We need to simplify the expression by collecting like terms. The given expression is: $15ab + 5bc - 6ac + 9 + 14ac - 5 - 5bc$

2. Relevant Concepts

• Like terms are terms that have the same variables raised to the same powers.
• We will identify like terms and combine them accordingly.

3. Analysis and Detail

Let's arrange the expression by grouping like terms:

• Terms with $ab$:

  • $15ab$

• Terms with $bc$:

  • $5bc - 5bc = 0$ (these cancel each other)

• Terms with $ac$:

  • $-6ac + 14ac = 8ac$

• Constant terms:

  • $9 - 5 = 4$

Now, we can write our expression as: $15ab + 0 + 8ac + 4$ This simplifies to: $15ab + 8ac + 4$

4. Verify and Summarize

The simplified expression collected from the like terms is:

• The term $ab$ is $15ab$.
• The term $ac$ is $8ac$.
• The constant term is $4$.

Final Answer

The simplified expression is: $15ab + 8ac + 4$