Simplify the expression completely if possible. (x^(2)-5x)/(x^(2)-25) Answer:

Factor Numerator and Denominator: Factor both the numerator and the denominator. The numerator x^2 - 5x can be factored by taking out the common factor x, which gives us x(x - 5). The denominator x^2 - 25 is a difference of squares and can be factored into (x + 5)(x - 5). So, the expression becomes: (x(x - 5))/((x + 5)(x - 5))Cancel Common Factors: Cancel out the common factors. The factor (x - 5) is present in both the numerator and the denominator, so we can cancel it out. This gives us: x/(x + 5)Check for Further Simplification: Check for any further simplification. There are no common factors left, and we cannot simplify the expression any further. So, the simplified form of the expression is: x/(x + 5)

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Simplify the expression completely if possible.

(x^(2)-5x)/(x^(2)-25)
Answer:

Simplify the expression completely if possible. $\newline$ $\frac{x^{2}-5 x}{x^{2}-25}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Simplify the expression completely if possible.

\newline

\frac{x^{2}-5 x}{x^{2}-25}

\newline

Answer:

Factor Numerator and Denominator: Factor both the numerator and the denominator. $\newline$ The numerator $x^2 - 5x$ can be factored by taking out the common factor $x$ , which gives us $x(x - 5)$ . $\newline$ The denominator $x^2 - 25$ is a difference of squares and can be factored into $(x + 5)(x - 5)$ . $\newline$ So, the expression becomes: $\newline$ $\frac{x(x - 5)}{(x + 5)(x - 5)}$
Cancel Common Factors: Cancel out the common factors. $\newline$ The factor $(x - 5)$ is present in both the numerator and the denominator, so we can cancel it out. $\newline$ This gives us: $\newline$ $\frac{x}{x + 5}$
Check for Further Simplification: Check for any further simplification. $\newline$ There are no common factors left, and we cannot simplify the expression any further. $\newline$ So, the simplified form of the expression is: $\newline$ $\frac{x}{x + 5}$