Math Problem Statement

-5(1-2m)

Solution

The expression is 5(12m)-5(1 - 2m).

To simplify this expression:

  1. Distribute the 5-5 across the terms inside the parentheses: 5(12m)=5×1+(5)×(2m)-5(1 - 2m) = -5 \times 1 + (-5) \times (-2m)

  2. Simplify the terms: =5+10m= -5 + 10m

So, the simplified expression is: 10m510m - 5

Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

  1. How do you factor an expression like 10m510m - 5?
  2. How can this expression be applied in a real-world context?
  3. How do you solve equations involving terms like this one?
  4. How do you combine like terms when simplifying algebraic expressions?
  5. What is the process for simplifying more complex expressions?

Tip: When distributing, always ensure you multiply each term inside the parentheses by the factor outside to avoid errors!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property

Formulas

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

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8