Math Problem Statement

3(a-6)

Solution

The expression 3(a6)3(a - 6) can be simplified by distributing the 33 across the terms inside the parentheses:

3(a6)=3a363(a - 6) = 3 \cdot a - 3 \cdot 6

=3a18= 3a - 18

So, the simplified form of the expression is 3a183a - 18.

Would you like further details or have any questions?

Here are some related questions:

  1. How do you factor 3a183a - 18 back into its original form?
  2. What happens if you distribute a negative number instead of 3?
  3. How would you solve 3(a6)=03(a - 6) = 0 for aa?
  4. How can this expression be used in an equation?
  5. What if a=6a = 6? What does the expression equal?
  6. How would the expression change if it was 3(a+6)3(a + 6)?
  7. Can you expand and simplify 3(a6)+2(a+3)3(a - 6) + 2(a + 3)?
  8. How would you distribute if it was 5(2a4)5(2a - 4)?

Tip: Always double-check your distribution, especially when dealing with negative signs.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8