https://file.aiquickdraw.com/mathbot/file/1725999720534sy1c1fah.jpg

The problem in the image asks to simplify the expression \((p - 7)(p - 4)\).

Let's simplify it step by step using the distributive property (also known as FOIL for binomials):

\[
(p - 7)(p - 4)
\]

First, apply the distributive property:

\[
p \cdot p + p \cdot (-4) + (-7) \cdot p + (-7) \cdot (-4)
\]

This gives:

\[
p^2 - 4p - 7p + 28
\]

Now, combine like terms:

\[
p^2 - 11p + 28
\]

So, the simplified expression is:

\[
p^2 - 11p + 28
\]

The correct answer is **C**: \( p^2 - 11p + 28 \).

Would you like more details or have any further questions? 

Here are some related questions for practice:
1. How would you expand \((x + 3)(x - 5)\)?
2. What happens if you have \((p - 2)(p + 6)\)?
3. Can you factor the expression \(p^2 - 11p + 28\)?
4. What is the result of expanding \((2p - 3)(p + 7)\)?
5. What is the simplified form of \((p + 8)(p - 9)\)?

**Tip**: Always distribute terms carefully, and don't forget to combine like terms for a final simplified expression!

Learn how to simplify the binomial expression (p - 7)(p - 4) using the distributive property. This problem involves key algebraic concepts and is suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation