(x^r - r x) / (r - sqrt(x^r + r x)) =

Questions: (x^r - r x) / (r - sqrt(x^r + r x)) =

Transcript text: \(\frac{x^{r}-r x}{r-\sqrt{x^{r}+r x}}=\)

Solution

Step 1: Define the Expression

We start with the expression given in the problem:

\[ \frac{x^{r}-r x}{r-\sqrt{x^{r}+r x}} \]

Step 2: Simplify the Expression

Upon simplification, we find that the expression remains unchanged:

\[ \frac{-r x + x^{r}}{r - \sqrt{r x + x^{r}}} \]

This indicates that the expression does not simplify further under standard algebraic manipulation.

The simplified expression is

\[ \boxed{\frac{-r x + x^{r}}{r - \sqrt{r x + x^{r}}}} \]

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