riley1012 riley1012

08-08-2017
Mathematics

contestada

Simplify
[tex] \frac{ \frac{1}{x+h} + \frac{1}{x} }{x} [/tex]

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jdoe0001 jdoe0001

08-08-2017

[tex]\bf \cfrac{\frac{1}{x+h}+\frac{1}{x}}{x}\implies \cfrac{\frac{(x\cdot 1)+(1\cdot (x+h))}{x(x+h)}}{\frac{x}{1}}\implies \cfrac{\frac{x+x+h}{x(x+h)}}{\frac{x}{1}}\implies \cfrac{x+x+h}{x(x+h)}\cdot \cfrac{1}{x} \\\\\\ \cfrac{2x+h}{x^2(x+h)}[/tex]

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good job