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 for the variables in the identity where a=√(,x) and b=√(,2)

3. Substitute these values into the identity formula to set up the calculation.

(√(,x))2−(√(,2))2

4. Simplify the expression by squaring the square roots, noting that (√(,k))2=k for non-negative values.

x−2

Final Answer

(√(,x)−√(,2))*(√(,x)+√(,2))=x−2

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