Question

(x-1/x)^2 -(x+1/x)^2. simplify​

Answer 1

Step-by-step explanation:

$({ \frac{x - 1}{x} })^{2} - ( \frac{x + 1}{x})^{2} = \: ( \frac{x - 1}{x} + \frac{x + 1}{x} )(\frac{x - 1}{x} - \frac{x + 1}{x}) \\ = ( \frac{x - 1 + x + 1}{x})( \frac{x - 1 - x - 1}{x}) \\ = ( \frac{2x}{x})( \frac{ - 2}{x}) \\ = ( \frac{ - 4x}{ {x}^{2} }) \\ = ( \frac{ - 4}{x})$

Here is your answer mate.

Hope it helps.

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