The expression you provided is:

\[
10b + 4b + 5ab
\]

To simplify this expression:

1. **Combine like terms**: Like terms are terms that have the same variable raised to the same power. In this case, \(10b\) and \(4b\) are like terms because they both contain the variable \(b\).

\[
10b + 4b = 14b
\]

2. **Rewrite the expression**: After combining the like terms, the simplified expression becomes:

\[
14b + 5ab
\]

This is the simplified form of the expression. Since \(14b\) and \(5ab\) are not like terms (one has the variable \(a\) and the other does not), they cannot be combined any further.

Would you like more details or have any questions?

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Here are 5 related questions to consider:

1. How do you factor the expression \(14b + 5ab\)?
2. What is the result of substituting specific values for \(a\) and \(b\) in the expression \(14b + 5ab\)?
3. How can you expand and simplify the expression \((2b + 5)(7 + ab)\)?
4. What happens if you set \(b = 0\) in the expression \(14b + 5ab\)?
5. How do you find the derivative of the expression \(14b + 5ab\) with respect to \(b\)?

**Tip:** When simplifying expressions, always start by combining like terms, as it often simplifies the problem significantly.

Learn how to simplify the algebraic expression 10b + 4b + 5ab step-by-step. Combine like terms and understand the principles of algebraic simplification. Suitable for students in Grades 6-8.

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