Math Problem Statement
y to the second power minus six plus eight over three y plus 6 times y plus two over three y minus twelve
Solution
You provided the expression:
Let's simplify it step by step.
Step 1: Combine Like Terms
The constant terms are:
So the expression becomes:
Step 2: Distribute the 6
Step 3: Rewrite the Expression
Step 4: Express Everything with a Common Denominator
The least common denominator (LCD) is , so we rewrite terms:
- stays the same.
Thus, the expression is:
Final Answer:
Would you like me to further simplify or factor any part?
Related Questions:
- How do you find the least common denominator for rational expressions?
- How can this expression be rewritten in terms of partial fractions?
- What happens if we set this expression equal to zero and solve for ?
- How do you simplify algebraic fractions involving polynomials?
- What are the restrictions on for this expression to be valid?
Tip:
When working with fractions in algebraic expressions, always look for the least common denominator to simplify operations efficiently!
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Math Problem Analysis
Mathematical Concepts
Algebra
Rational Expressions
Simplification of Algebraic Expressions
Formulas
Distributive property
Least common denominator (LCD)
Theorems
Simplifying rational expressions
Combining like terms
Suitable Grade Level
Grades 9-11