Math Problem Statement
Which expression is equivalent to (5a – 4b) + (-3a – 2b)?
Solution
To simplify the expression , follow these steps:
-
Group the like terms:
- Combine the terms with :
- Combine the terms with :
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The simplified expression is:
Therefore, the expression equivalent to is .
Do you need any further details or clarifications?
Here are 5 related questions to expand on this:
- How do you simplify an expression with more variables?
- What happens when you subtract algebraic expressions?
- How would you factor the result ?
- What if the coefficients were decimals instead of integers?
- How do you handle expressions with more complex terms, like squares or cubes?
Tip: Always group and simplify like terms to make expressions easier to manage.
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Math Problem Analysis
Mathematical Concepts
Algebra
Combining Like Terms
Formulas
Combining like terms: (5a - 3a) and (-4b - 2b)
Theorems
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Suitable Grade Level
Grades 6-8