Math Problem Statement

2(x+2)

Solution

To simplify the expression 2(x+2)2(x + 2), distribute the 22 to each term inside the parentheses:

2(x+2)=2x+22=2x+42(x + 2) = 2 \cdot x + 2 \cdot 2 = 2x + 4

So, the simplified form is:

2x+42x + 4

Would you like more details on the steps or have any questions?

Here are some related questions:

  1. What if we had 3(x+2)3(x + 2) instead?
  2. How would this change if we added an exponent, like 2(x+2)22(x + 2)^2?
  3. What if the expression were 2(x2)2(x - 2) instead?
  4. How does distributing work in expressions like 2(3x+4)2(3x + 4)?
  5. How would we solve if 2(x+2)=102(x + 2) = 10?

Tip: When simplifying, always apply distribution carefully to each term inside the parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication over Addition

Suitable Grade Level

Grades 6-8