Question #6450960Fill in the Blank
Algebra-2
Question
Simplify the expression . The result is ____________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to multiply binomial radical expressions, specifically conjugates, and simplify the result.
This problem assesses the student's ability to multiply binomial radical expressions, specifically conjugates, and simplify the result.
Key Concept Explanation
When multiplying conjugate binomial radicals, the product of the outer and inner terms cancel out, leaving the square of the first term minus the square of the last term. This follows the difference of squares formula: .
When multiplying conjugate binomial radicals, the product of the outer and inner terms cancel out, leaving the square of the first term minus the square of the last term. This follows the difference of squares formula: .
Step-by-step Solution
1. Identify the terms in the expression: and .
2. Apply the difference of squares formula: .
3. Calculate each square:
1. Identify the terms in the expression: and .
2. Apply the difference of squares formula: .
3. Calculate each square:
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