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Problem 17 - Entrance Test
The expression (x² + 1/x²)² - 4 equals
A. (x - 1/x)²(x + 1/x)²
B. (x² - 1/x²)²
C. (x - 1/x)²
D. (x + 1/x)²
E. x⁴ - 1/x⁴
Check Answer
Show Solution
Correct: B
(x² + 1/x²)² - 4 = x⁴ + 2 + 1/x⁴ - 4 = x⁴ - 2 + 1/x⁴ = (x² - 1/x²)².