https://file.aiquickdraw.com/mathbot/file/1729805829943e9cy6kez.jpg

The problem on the screen asks you to multiply \((5y - 9)(3y - 8)\). Let's expand this using the distributive property (also called FOIL for binomials).

1. **First terms**: \(5y \times 3y = 15y^2\)
2. **Outer terms**: \(5y \times -8 = -40y\)
3. **Inner terms**: \(-9 \times 3y = -27y\)
4. **Last terms**: \(-9 \times -8 = 72\)

Now, let's combine the like terms:

\[
15y^2 - 40y - 27y + 72 = 15y^2 - 67y + 72
\]

The correct answer is **D. \(15y^2 - 67y + 72\)**.

Would you like further details, or do you have any questions?

### 5 Related Questions:
1. What is the distributive property in algebra, and how is it applied?
2. How can you simplify expressions with like terms?
3. Why is it important to use the FOIL method for binomial multiplication?
4. How do you determine the degree of a polynomial after multiplication?
5. What are common mistakes to avoid when multiplying binomials?

**Tip**: When multiplying binomials, always double-check your inner and outer products to avoid errors with the middle term.

Learn how to multiply the binomials (5y - 9) and (3y - 8) using the FOIL method. This step-by-step guide simplifies polynomial multiplication with the distributive property, including detailed solutions. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation