Math Problem Statement
Simplify the expression 10(10x + 7y - 6) using the distributive property.
Solution
The expression from the image is:
To simplify this expression using the distributive property, we multiply each term inside the parentheses by 10:
Now, performing the multiplication:
So, the simplified expression is:
Would you like further details or have any questions?
Here are five related questions to deepen understanding:
- How do you apply the distributive property to more complex expressions?
- What happens if there are fractions inside the parentheses?
- How does the distributive property work when the outside term is negative?
- Can the distributive property be used in reverse (factoring)?
- How would you apply the distributive property to an expression with more than three terms inside the parentheses?
Tip: Always distribute carefully, keeping track of signs (positive or negative) when applying the distributive property.
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Formulas
a(b + c) = ab + ac
Theorems
-
Suitable Grade Level
Grades 6-8