Math Problem Statement

how to expand and simplify 4(x + 3)

Solution

To expand and simplify the expression 4(x+3)4(x + 3), you need to distribute the 4 across both terms inside the parentheses.

Here’s the step-by-step process:

  1. Distribute the 4: 4(x+3)=4x+434(x + 3) = 4 \cdot x + 4 \cdot 3

  2. Simplify each term: 4x+124x + 12

Thus, the expanded and simplified expression is: 4x+124x + 12

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

Here are 5 related questions you can explore:

  1. How would you expand 3(x+5)3(x + 5)?
  2. What is the process to expand and simplify 5(2x4)5(2x - 4)?
  3. How do you factor 4x+124x + 12 back into a product?
  4. Can you expand 4(x+y+3)4(x + y + 3)?
  5. How would you expand and simplify 4(x2+3x+2)4(x^2 + 3x + 2)?

Tip: Always ensure you distribute to every term inside the parentheses when expanding expressions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication

Suitable Grade Level

Grades 6-8