Math Problem Statement

Expand -6(3n + 5).

Solution

To expand the expression 6(3n+5)-6(3n + 5), we apply the distributive property, which involves multiplying 6-6 by each term inside the parentheses.

  1. Multiply 6-6 by 3n3n: 6×3n=18n-6 \times 3n = -18n

  2. Multiply 6-6 by 55: 6×5=30-6 \times 5 = -30

Now, putting these two results together: 6(3n+5)=18n30-6(3n + 5) = -18n - 30

So, the expanded form of the expression is: 18n30-18n - 30

Would you like further details on the distributive property or other related concepts?

Here are 5 related questions to expand on this topic:

  1. How would you factor the expression 18n30-18n - 30 back into its original form?
  2. What happens if you multiply by a positive number instead of a negative one?
  3. Can you apply the distributive property to an expression with more than two terms inside the parentheses?
  4. How would this expansion change if the expression inside the parentheses had exponents?
  5. How would you solve an equation if 18n30=0-18n - 30 = 0?

Tip: When using the distributive property, always remember to apply the outside term to each term inside the parentheses, regardless of whether they are variables or constants.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

-

Suitable Grade Level

Grades 7-8