Math Problem Statement

2(7x-3)

Solution

Expanding the expression using the distributive property:

2(7x3)=27x232(7x - 3) = 2 \cdot 7x - 2 \cdot 3

=14x6= 14x - 6

Final Answer:

14x614x - 6

Would you like a deeper explanation or have any questions?

Here are five related questions to expand on this:

  1. How do you factorize 14x614x - 6 back into its original form?
  2. What happens if x=2x = 2 in 14x614x - 6?
  3. Can you apply the distributive property to 3(4x+5)3(4x + 5)?
  4. What if the expression was 2(7x3)-2(7x - 3)?
  5. How do you solve the equation 2(7x3)=102(7x - 3) = 10?

Tip:

The distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. Always apply multiplication to each term inside the parentheses!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8