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The question asks for the product of \((x + 5)\) and \((2x^2 - 3x + 5)\).

To solve this, we need to apply the distributive property, also known as FOIL (First, Outside, Inside, Last), to multiply each term in \((x + 5)\) with each term in \((2x^2 - 3x + 5)\).

### Step-by-step multiplication:
1. **Distribute \(x\) to each term in \(2x^2 - 3x + 5\):**
   \[
   x \cdot 2x^2 = 2x^3
   \]
   \[
   x \cdot (-3x) = -3x^2
   \]
   \[
   x \cdot 5 = 5x
   \]

2. **Distribute \(5\) to each term in \(2x^2 - 3x + 5\):**
   \[
   5 \cdot 2x^2 = 10x^2
   \]
   \[
   5 \cdot (-3x) = -15x
   \]
   \[
   5 \cdot 5 = 25
   \]

3. **Combine all the terms:**
   \[
   2x^3 + (-3x^2 + 10x^2) + (5x - 15x) + 25
   \]

4. **Simplify:**
   \[
   2x^3 + 7x^2 - 10x + 25
   \]

Thus, the correct expression is \(2x^3 + 7x^2 - 10x + 25\), which corresponds to the second option in the list.

### Answer:
The correct choice is **B**.

Do you have any questions or need further clarification?

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Here are 5 related questions for practice:
1. What is the result of multiplying \((x + 4)\) by \((x^2 - x + 3)\)?
2. How do you apply the distributive property to three terms, such as \((x + 2)(x^2 + 3x + 5)\)?
3. What is the expanded form of \((x - 3)(2x^2 + 4x + 1)\)?
4. How do you simplify the result of multiplying two binomials?
5. How does multiplying polynomials relate to factoring?

**Tip:** When multiplying polynomials, always distribute each term in the first polynomial across all terms in the second polynomial, then combine like terms to simplify!

Which expression is the product of (x + 5)(2x^2 - 3x + 5)?

Learn how to multiply the polynomials (x + 5) and (2x^2 - 3x + 5) step-by-step. This algebra problem covers the distributive property and polynomial multiplication techniques. Suitable for students in Grades 8-10.

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