Multiply

Problem

(√(,x)+√(,2))*(√(,x)−√(,2))

Solution

1. Identify the pattern as a difference of squares, which follows the algebraic identity (a+b)*(a−b)=a2−b2

2. Assign the values a=√(,x) and b=√(,2) to fit the identity.

3. Apply the formula by squaring each term and subtracting the second from the first.

4. Simplify the squares of the square roots, noting that (√(,x))2=x and (√(,2))2=2

Final Answer

(√(,x)+√(,2))*(√(,x)−√(,2))=x−2

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