Math Problem Statement

6(5n - 3p + 2)

Solution

The expression in the image is:

6(5n3p+2)6(5n - 3p + 2)

To use the distributive property, we need to multiply the 6 by each term inside the parentheses:

6(5n)=30n6(5n) = 30n 6(3p)=18p6(-3p) = -18p 6(2)=126(2) = 12

So, the expression simplifies to:

30n18p+1230n - 18p + 12

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:

  1. What happens if we apply the distributive property to negative terms inside parentheses?
  2. How can we factor out the common terms in an expression like this?
  3. What if the constant outside the parentheses were negative—how would that change the process?
  4. How is the distributive property applied in reverse to factor expressions?
  5. How does the distributive property help simplify equations with variables?

Tip: Always double-check that you've distributed every term to avoid missing anything in more complex expressions!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 7-9