Math Problem Statement

3(x + y)

Solution

The expression 3(x+y)3(x + y) can be simplified by distributing the 3 to both xx and yy:

3(x+y)=3x+3y3(x + y) = 3x + 3y

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Here are 5 related questions to explore:

  1. How would you simplify 5(x+2y)5(x + 2y)?
  2. What happens when you distribute 4(x+3)-4(x + 3)?
  3. Can you factor the expression 6x+6y6x + 6y back into a form similar to 3(x+y)3(x + y)?
  4. What if x=2x = 2 and y=5y = 5, how would you evaluate 3(x+y)3(x + y)?
  5. How do you distribute constants in expressions with more than two terms, like 2(x+y+z)2(x + y + z)?

Tip: Always remember to apply the distributive property correctly by multiplying the outer term with 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 of Multiplication

Suitable Grade Level

Grades 6-8