simplify x/(x+c/x)

Solution

simplify

\frac{x}{x + \frac{c}{x}}

\frac{x ^{2}}{x ^{2} + c}

Solution steps

\frac{x}{x + \frac{c}{x}}

Join

x + \frac{c}{x} : \frac{x ^{2} + c}{x}

= \frac{x}{\frac{x ^{2} + c}{x}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{xx}{x ^{2} + c}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{x ^{2}}{x ^{2} + c}

7 x + 6 x

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