Math Problem Statement
(2 radical din 2 -3a) (2 radical din 2 +3a)÷(x/3+2y)³
Solution
You provided the following expression:
Let's break this down step-by-step.
Step 1: Simplify the numerator
The numerator is a difference of squares, which follows the formula:
In your case:
Applying the formula:
Simplify each term:
So, the simplified numerator is:
Step 2: Denominator stays the same
The denominator is:
Step 3: Final expression
After simplifying, the expression becomes:
Would you like further details on any part of this solution?
5 Relative Questions:
- Can you verify what range of values for or will simplify the expression?
- How does this expression behave when or ?
- Would this be easier to work with if the denominator was expanded or simplified further?
- What are the domain restrictions for to keep this expression defined?
- How would this expression change if powers or roots were involved in the denominator?
Tip:
Always remember to check for domain restrictions when variables appear in the denominator!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Difference of Squares
Exponentiation
Formulas
Difference of Squares: (a - b)(a + b) = a^2 - b^2
Exponentiation: (a + b)^n
Theorems
Difference of Squares Theorem
Suitable Grade Level
Grades 9-12
Related Recommendation
Simplifying Radical Expression (2√2 - 3a)(2√2 + 3a) ÷ (x/3 + 2y)^3
Simplifying Expressions with Radicals: Solving (a^6 + a^4 + a^2 + 1) / a^3 with a = 3 + 2√2
Simplifying Expressions with Exponents and Roots: 2a^3 / (a^2√a)^3
Simplify Expression: (a^(√2+1) * a^(2-√3)) / ((a^(√2-2))^√3+2)
Simplifying Algebraic Expressions with Factorization: a^2 - b^2 / 3a^2 - 6a + 3 x 4a + 4b / a^2 - 1