Math Problem Statement
5(a+b)-3(b-a)
Solution
To simplify the expression :
-
Distribute the terms inside the parentheses:
The expression becomes:
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Combine like terms:
- Combine and :
- Combine and :
The simplified expression is:
Final Answer:
Do you want more explanation or have any specific questions?
Here are 5 questions to deepen understanding:
- How does the distributive property work in algebra?
- Why is it important to combine like terms in algebraic expressions?
- How would the result change if the signs in the original expression were different?
- Can this simplification be visualized geometrically, and if so, how?
- How do we verify that two algebraic expressions are equivalent?
Tip: Always double-check signs during distribution to avoid errors!
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplification of Expressions
Distributive Property
Formulas
Distributive Property: a(b + c) = ab + ac
Theorems
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Suitable Grade Level
Grades 6-8