Rewrite in simplest terms: - 5 (- 10p +8p -5)-p−5

Let's simplify the expression: \(-5(-10p + 8p - 5) - p - 5\).

### Step 1: Simplify inside the parentheses
Inside the parentheses:  
\(-10p + 8p - 5\) simplifies to:
\[
-2p - 5
\]

So, the expression now looks like:
\[
-5(-2p - 5) - p - 5
\]

### Step 2: Distribute the \(-5\)
Distribute \(-5\) across \(-2p - 5\):
\[
-5(-2p) = 10p
\]
\[
-5(-5) = 25
\]

Now, the expression is:
\[
10p + 25 - p - 5
\]

### Step 3: Combine like terms
Combine the terms involving \(p\) and the constant terms:
\[
10p - p = 9p
\]
\[
25 - 5 = 20
\]

Thus, the simplified expression is:
\[
9p + 20
\]

Let me know if you have any questions or want further details!

Here are 5 relative questions:
1. What are like terms in algebra?
2. How do you apply the distributive property?
3. How can you check if an expression is fully simplified?
4. What is the difference between constants and variables?
5. How do you combine like terms when simplifying?

**Tip:** Always simplify inside parentheses first before distributing or combining like terms.

Learn how to simplify the algebraic expression -5(-10p + 8p - 5) - p - 5 step-by-step. This problem involves algebraic concepts such as simplifying expressions, applying the distributive property, and combining like terms. 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