Math Problem Statement
-12t^7 18t^9 over - 6t^3 simplified is? -3t^12 - 12t^7, - 2t^3 - 3t, - 3t^6(4t-1), t^4(2-3t^2). Which answer is correct
Solution
Let's simplify the given expression step by step:
The expression is:
Step 1: Simplify each term by dividing by .
For the first term, :
So, .
For the second term, :
So, .
Step 2: Combine the results.
Now let's check the answer options:
- - This is not correct.
- - This is not correct.
- - Let's expand this:
This does not match .
- - Let's expand this:
This matches the simplified expression.
Correct Answer:
The correct answer is:
Would you like further details on any of these steps?
Related Questions:
- How do you factor higher-degree polynomials like ?
- What are the rules for simplifying exponents during division?
- How do you apply the distributive property when expanding terms?
- Can you explain more about combining like terms in polynomial expressions?
- What are some common mistakes to avoid when simplifying expressions with negative signs?
Tip:
Always watch out for signs and double-check your exponent rules when simplifying expressions involving variables.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Rational Expressions
Polynomial Division
Exponent Rules
Formulas
Division of powers with the same base: a^m / a^n = a^(m-n)
Distributive property: a(b + c) = ab + ac
Theorems
Exponentiation Laws
Distributive Property
Suitable Grade Level
Grades 9-12