In the expression A. -4 B. 2 C. 3 D. 4 x2  3 x  4 32. Sum of x+7y-3 and 6x-2y+5 is: A. 7x+9y+8 B. 7x+2y+5 C. 7x+2y+4 D. 7x+5y+2 the constant term is: 

Let's break down the two parts of your query.

### 1. Simplifying the Algebraic Expression \( x^2 + 3x - 4 \)
The expression \( x^2 + 3x - 4 \) seems to be part of a larger equation, but since the full equation isn't clear from the query, I'll focus on the next part of your question.

### 2. Sum of the Expressions \( x + 7y - 3 \) and \( 6x - 2y + 5 \)
We need to add these two algebraic expressions:

\[
(x + 7y - 3) + (6x - 2y + 5)
\]

Combine like terms:

- Combine \( x \) terms: \( x + 6x = 7x \)
- Combine \( y \) terms: \( 7y - 2y = 5y \)
- Combine constant terms: \( -3 + 5 = 2 \)

So, the sum is:

\[
7x + 5y + 2
\]

### Conclusion:
The sum of the expressions is \( \mathbf{7x + 5y + 2} \).

### Answer Choices:
- A. \( 7x + 9y + 8 \)
- B. \( 7x + 2y + 5 \)
- C. \( 7x + 2y + 4 \)
- D. \( 7x + 5y + 2 \)

The correct answer is **D. \( 7x + 5y + 2 \)**.

### Constant Term:
The constant term in the sum \( 7x + 5y + 2 \) is **2**.

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Would you like more details on this explanation or have any additional questions?

Here are some related questions you might find interesting:
1. How do you factor the quadratic expression \( x^2 + 3x - 4 \)?
2. What are the steps to solving a system of linear equations involving \( x \) and \( y \)?
3. How do you identify and combine like terms in algebraic expressions?
4. What is the importance of the constant term in an algebraic expression?
5. How would the sum change if the expressions involved different coefficients?
6. Can you explain how to distribute and combine like terms in more complex expressions?
7. How do you solve for \( x \) and \( y \) when given two simultaneous equations?
8. What is the process for expanding and simplifying binomials in algebra?

**Tip:** Always double-check the signs (positive or negative) when combining like terms to avoid common mistakes.

Learn how to find the sum of algebraic expressions x + 7y - 3 and 6x - 2y + 5. Step-by-step solution included. Explore combining like terms and solving algebraic sums. Suitable for Grades 7-9.

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