Math Problem Statement

3 × (a-6)

Solution

The expression 3×(a6)3 \times (a - 6) is similar to the previous one. You can simplify it by distributing the 33 across the terms inside the parentheses:

3×(a6)=3×a3×63 \times (a - 6) = 3 \times a - 3 \times 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 solve 3×(a6)=03 \times (a - 6) = 0 for aa?
  2. What if the expression was 3×(a6)+5×(b+2)3 \times (a - 6) + 5 \times (b + 2)?
  3. How does the expression change if aa is negative?
  4. What happens if you multiply the expression by a fraction instead of 3?
  5. How do you factor 3a183a - 18 back into its original form?
  6. Can you solve 3×(a6)=123 \times (a - 6) = 12 for aa?
  7. How would you approach the expression if it were 3×(a6)-3 \times (a - 6)?
  8. How does this expression relate to a linear equation?

Tip: When distributing, keep track of your signs and ensure every term inside the parentheses is multiplied correctly.

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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 7-9