Math Problem Statement
Simplify the complex rational expression: (5/(x+5) - 7) / (3 + 4/(x+5))
Solution
The expression in the image needs to be simplified. It can be written as:
Steps to simplify:
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Combine terms in the numerator:
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Combine terms in the denominator:
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Simplify the whole fraction:
So, the simplified form is:
Would you like more details on any step or a further explanation?
Here are five relative questions to expand your understanding:
- How do you simplify rational expressions with variables in both the numerator and denominator?
- What happens when you have common denominators in complex fractions?
- Can this simplified form be factored further?
- How would the result change if additional constraints were placed on ?
- Can you apply this approach to solve similar complex fraction problems?
Tip: Always look for common denominators when simplifying expressions, especially with complex fractions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Rational Expressions
Complex Fractions
Formulas
Simplification of complex fractions
Combining fractions
Theorems
Distributive Property
Fraction Addition/Subtraction
Suitable Grade Level
Grades 9-11