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I can help you analyze the image you've uploaded. Here’s a breakdown of the text and questions from the image:

1. **Equation given**: 
   \[
   10 + 3Y + BX - Y = \ldots
   \]

   The problem under this asks to identify:
   - Variables
   - Coefficients
   - Constants
   - Factors
   - Terms

2. **The second problem** asks: 
   - Which of the following algebraic expressions contains terms that are of the same type (or "like terms")? 
   - The given choices are:
     - \( a. p - 4p^2 \)
     - \( b. 3x^2 + 2x^2 \)
     - \( c. 2xy - xy \)
     - \( d. 8p - 9 \)
     - \( e. 12p^2 - 9q \)
     - \( f. 7p - 8p \)

For the first question, we would analyze the equation:
- **Variables**: \(Y\), \(X\), and \(B\)
- **Coefficients**: 3 for \(3Y\), and \(B\) for \(BX\) (since the coefficient of \(X\) is \(B\))
- **Constant**: 10
- **Factors**: The parts of each term involving variables and their coefficients
- **Terms**: 10, \(3Y\), \(BX\), \(-Y\)

For the second question, we look for expressions where the terms are like terms:
- Like terms have the same variables raised to the same power.
- \( b. 3x^2 + 2x^2 \) and \( f. 7p - 8p \) are like terms because their variables and exponents are identical.

Would you like a detailed explanation of any of these points, or help with solving the full problems? 

Here are 5 follow-up questions based on this:
1. Can you explain the difference between a coefficient and a constant?
2. Why are like terms important in simplifying algebraic expressions?
3. What operation is usually performed on like terms in algebra?
4. How do you identify factors in an algebraic expression?
5. How can we simplify the expression \(3x^2 + 2x^2\)?

**Tip**: When dealing with algebra, always try to group like terms first to simplify the equation easily.

Given the equation 10 + 3Y + BX - Y = ..., identify variables, coefficients, constants, factors, and terms. Also, determine which algebraic expressions among the choices contain like terms.

Learn how to identify variables, coefficients, constants, and terms in an algebraic expression like 10 + 3Y + BX - Y. Also, understand how to simplify algebraic expressions by combining like terms.

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