Math Problem Statement

Using the distributive property simplify the expression -6(7 + x)

Solution

To simplify the expression 6(7+x)-6(7 + x) using the distributive property, follow these steps:

  1. Apply the distributive property by multiplying 6-6 with each term inside the parentheses:

    6(7)+(6)(x)-6(7) + (-6)(x)

  2. Simplify each term:

    426x-42 - 6x

Thus, the simplified expression is:

426x-42 - 6x

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:

  1. How would you simplify the expression 3(2x+4)3(2x + 4)?
  2. What is the result of applying the distributive property to 2(x5)-2(x - 5)?
  3. Can you simplify the expression 4(3x7)+2x4(3x - 7) + 2x?
  4. How do you factor an expression like 6x42-6x - 42?
  5. What happens when you apply the distributive property to 0(x+y)0(x + y)?

Tip: The distributive property can also be used in reverse to factor expressions, which is the process of finding common factors in terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

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

Theorems

Distributive property

Suitable Grade Level

Grades 6-8