Math Problem Statement

Using the distributive property simplify the expression (9m + 10) x 2

Solution

To simplify the expression (9m+10)×2(9m + 10) \times 2 using the distributive property, follow these steps:

  1. Distribute the 22 to both terms inside the parentheses. 2×9m+2×102 \times 9m + 2 \times 10

  2. Multiply: 18m+2018m + 20

Thus, the simplified expression is: 18m+2018m + 20

Would you like more details on the distributive property or how to apply it to more complex expressions?

Here are 5 related questions:

  1. How do you distribute in expressions with three terms?
  2. How do you simplify an expression like (3x+4)(2x+5)(3x + 4)(2x + 5)?
  3. What is the distributive property in mathematical terms?
  4. How do you handle negative numbers when using the distributive property?
  5. Can you use the distributive property with division?

Tip: Always distribute the multiplier to each term inside the parentheses before combining like terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification of Expressions

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8