Math Problem Statement

2(y+5x)

Solution

The expression 2(y+5x)2(y + 5x) can be simplified by distributing the 2 across both terms inside the parentheses:

2(y+5x)=2y+25x2(y + 5x) = 2 \cdot y + 2 \cdot 5x

This gives:

2y+10x2y + 10x

So, the simplified expression is:

2y+10x2y + 10x

Would you like further details on the distributive property, or do you have any questions?

Here are 5 related questions to expand on this:

  1. How do you apply the distributive property to expressions with more than two terms?
  2. What is the difference between simplifying an expression and solving an equation?
  3. Can you factor expressions like 2y+10x2y + 10x in reverse?
  4. How would you solve if this expression was set equal to a number, like 2y+10x=202y + 10x = 20?
  5. What happens if you change the coefficients or variables in the original expression?

Tip: Always double-check for common factors when simplifying expressions—they may help in factoring later on!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication

Suitable Grade Level

Grades 6-8