Math Problem Statement
Simplify the algebraic expression 6(x + 9y).
Solution
The expression in the image is:
To simplify this, we apply the distributive property:
So, the simplified expression is:
Would you like any further clarification?
Here are five related questions to further explore this concept:
- How would the expression change if you multiplied by a different constant, like 3 instead of 6?
- What happens if you apply the distributive property to three terms inside the parentheses?
- How do you factor an expression like back to its original form?
- Can you apply the distributive property to expressions with subtraction, like ?
- How would this process differ for more complex expressions involving exponents?
Tip: The distributive property is useful in algebra for simplifying expressions and solving equations. Always remember to distribute the factor to each term inside the parentheses.
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Formulas
Distributive property: a(b + c) = ab + ac
Theorems
Distributive Property
Suitable Grade Level
Grades 6-8