1.

Simplify(1+x/x)(1+1/x²-1)​

Answer»

ANSWER:

(\frac{1 + x}{x} )(1 + \frac{1}{ ({x}^{2} - 1) } ) \\ \\ \\ = > \frac{1 + x}{x} + \frac{1 + x}{x ({x}^{2} - 1)} \\ \\ \\ \\ = > \frac{1 + x}{x} + \frac{1 + x}{x(x - 1)(x + 1)} \\ \\ \\ = > \frac{1 + x }{x} + \frac{1}{x(x - 1)} \\ \\ \\ = > \frac{(x - 1)( x + 1) + 1}{x(x - 1)} \\ \\ \\ = > \frac{ {x}^{2} - 1 + 1}{x(x - 1)} \\ \\ \\ \\ = > \frac{ {x}^{2} }{x(x - 1)} \\ \\ \\ = > \frac{x}{(x - 1)} \: \: ans.....

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