Evaluate \( \left(x + \frac{1}{x} + 1\right)^2 - \left(x + \frac{1}{x} + 1\right)^2 \)
Question 1 Report
Evaluate \( \left(x + \frac{1}{x} + 1\right)^2 - \left(x + \frac{1}{x} + 1\right)^2 \)
Answer Details
(x + + 1)2 - (x + + 1)2
= (x + + 1 + x + - 1)(x - + 1 - x + + 1)
= (2x) (2 + ) = 2x x 2(1 + )
4x (1 + ) = 4x + 4
= 4(1 + x)
= (x + + 1 + x + - 1)(x - + 1 - x + + 1)
= (2x) (2 + ) = 2x x 2(1 + )
4x (1 + ) = 4x + 4
= 4(1 + x)
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