Math Problem Statement

What is 2(5x + 10) expanded with distributive property?

Solution

To expand 2(5x+10)2(5x + 10) using the distributive property:

Steps:

  1. Distribute the 22 to each term inside the parentheses: 2(5x)+2(10)2(5x) + 2(10)

  2. Simplify each part:

    • 2×5x=10x2 \times 5x = 10x
    • 2×10=202 \times 10 = 20
  3. Combine the results: 10x+2010x + 20

Final Answer:

10x+2010x + 20

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Related Questions:

  1. What is 3(4x+5)3(4x + 5) expanded using the distributive property?
  2. Simplify 4(2x3)4(2x - 3) step by step.
  3. Expand and simplify 2(3x+4y+6)2(3x + 4y + 6).
  4. How does the distributive property work in a(b+c)a(b + c)?
  5. Solve and simplify 5(2x7)+3x5(2x - 7) + 3x.

Tip:

The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. Always multiply the term outside the parentheses by each term inside the parentheses.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication over Addition

Suitable Grade Level

Grades 6-8