Math Problem Statement

-5(-10p+8p-5-)-p

Solution

Let's simplify the expression:

5(10p+8p5)p-5(-10p + 8p - 5) - p

Step 1: Simplify inside the parentheses

10p+8p5=2p5-10p + 8p - 5 = -2p - 5

Now the expression becomes:

5(2p5)p-5(-2p - 5) - p

Step 2: Distribute the 5-5 across the terms inside the parentheses

5×(2p)+(5×5)=10p+25-5 \times (-2p) + (-5 \times -5) = 10p + 25

Now, the expression is:

10p+25p10p + 25 - p

Step 3: Combine like terms

10pp+25=9p+2510p - p + 25 = 9p + 25

Final Answer:

9p+259p + 25

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

Here are 5 follow-up questions related to this expression:

  1. How do you combine like terms involving variables?
  2. What is the distributive property, and how is it applied?
  3. What steps should you take when simplifying expressions inside parentheses?
  4. Can the expression 9p+259p + 25 be factored further?
  5. How would you solve 9p+25=09p + 25 = 0 for pp?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property
Combining Like Terms

Formulas

Distributive property: a(b + c) = ab + ac

Theorems

Distributive property
Combining like terms

Suitable Grade Level

Grades 6-8