Simplify

Problem

(√(,h2+1)+1)*(√(,h2+1)−1)

Solution

1. Identify the expression as a product of a sum and a difference, which follows the difference of squares pattern (a+b)*(a−b)=a2−b2

2. Assign the variables for the pattern where a=√(,h2+1) and b=1

3. Apply the formula by squaring the first term and subtracting the square of the second term.

(√(,h2+1))2−(1)2

4. Simplify the squares, noting that the square of a square root returns the radicand.

h2+1−1

5. Combine like terms to reach the final simplified form.

h2

Final Answer

(√(,h2+1)+1)*(√(,h2+1)−1)=h2

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