Math Problem Statement

4\left(2w+9\right)

Solution

To simplify the expression 4(2w+9)4(2w + 9), follow these steps:

  1. Distribute the 44 to each term inside the parentheses: 4×2w+4×94 \times 2w + 4 \times 9

  2. Perform the multiplication: 8w+368w + 36

So, the simplified expression is: 8w+368w + 36

Would you like more details, or do you have any questions?

Here are five related questions to expand your understanding:

  1. How do you distribute a negative number across a parenthesis, like 3(5w7)-3(5w - 7)?
  2. What is the distributive property, and how is it useful in algebra?
  3. How can you simplify the expression 2(3w4)+6w-2(3w - 4) + 6w?
  4. What happens if you have more than one set of parentheses to distribute, such as 2(3w+4)+3(2w1)2(3w + 4) + 3(2w - 1)?
  5. How do you factor the expression 8w+368w + 36 back into its original form?

Tip: Remember that the distributive property can be a powerful tool for simplifying expressions and solving equations. Always apply it carefully to each term inside the parentheses.

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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