Math Problem Statement

4(x+3)

Solution

The expression 4(x+3)4(x + 3) can be simplified by distributing the 4 across the terms inside the parentheses.

4(x+3)=4x+43=4x+124(x + 3) = 4 \cdot x + 4 \cdot 3 = 4x + 12

So, the simplified form is 4x+124x + 12.

Would you like more details on distribution or have any further questions?

Here are 5 related questions to explore:

  1. What happens if you distribute a negative number instead of 4?
  2. How would you factor 4x+124x + 12 back into 4(x+3)4(x + 3)?
  3. What if you were asked to solve 4(x+3)=204(x + 3) = 20?
  4. How do you apply the distributive property when there are two variables inside the parentheses?
  5. Can you expand 4(x2+3x+2)4(x^2 + 3x + 2)?

Tip: The distributive property is key for simplifying expressions and solving equations, especially when handling parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

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

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8