Math Problem Statement
(2 radicl din 2 -3a) (2radical din 2 +3a) ÷(x/3+2y)³
Solution
The given expression is:
Let's simplify this step by step.
Step 1: Simplifying the numerator
The numerator is a difference of squares, which follows the identity:
Here, and . Applying the identity:
Now calculate each square:
Thus, the numerator becomes:
Step 2: Writing the full expression
Now the expression becomes:
Final result:
Would you like to explore further details or ask any questions about this expression?
Here are 5 related questions:
- How can you simplify a binomial raised to a power, such as ?
- What is the difference of squares identity and how is it applied?
- How do you simplify square roots in expressions like ?
- What happens if you expand the denominator ?
- How would this expression change if additional variables are introduced in the numerator?
Tip: When working with square roots and powers, always check if you can apply identities like difference of squares for faster simplification!
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Math Problem Analysis
Mathematical Concepts
Algebra
Radicals
Difference of Squares
Exponentiation
Formulas
(a - b)(a + b) = a^2 - b^2 (Difference of Squares)
(a^b) = (a × a × ... × a) b times (Exponentiation)
Theorems
Difference of Squares
Suitable Grade Level
Grades 9-12
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