Simplify the expression completely if possible. (5x^(3))/(15x^(2)-30 x) Answer:

Factor out common terms: Factor out the common terms in the denominator. The denominator 15x^(2) - 30x can be factored by taking out the common factor of 15x. 15x(x - 2) is the factored form of the denominator.Simplify by canceling factors: Simplify the expression by canceling out common factors. The expression (5x^(3))/(15x(x - 2)) has a common factor of 5x in the numerator and the denominator. Canceling out the common factor of 5x, we get (x^(2))/(3(x - 2)).Check for further simplification: Check if further simplification is possible. The expression (x^(2))/(3(x - 2)) cannot be simplified further because there are no more common factors and the numerator is not divisible by the denominator.

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Simplify the expression completely if possible.

(5x^(3))/(15x^(2)-30 x)
Answer:

Simplify the expression completely if possible. $\newline$ $\frac{5 x^{3}}{15 x^{2}-30 x}$ $\newline$ Answer:

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Algebra 2

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Q. Simplify the expression completely if possible.

\newline

\frac{5 x^{3}}{15 x^{2}-30 x}

\newline

Answer:

Factor out common terms: Factor out the common terms in the denominator. $\newline$ The denominator $15x^{2} - 30x$ can be factored by taking out the common factor of $15x$ . $\newline$ $15x(x - 2)$ is the factored form of the denominator.
Simplify by canceling factors: Simplify the expression by canceling out common factors. $\newline$ The expression $(5x^{3})/(15x(x - 2))$ has a common factor of $5x$ in the numerator and the denominator. $\newline$ Canceling out the common factor of $5x$ , we get $(x^{2})/(3(x - 2))$ .
Check for further simplification: Check if further simplification is possible. $\newline$ The expression $(x^{2})/(3(x - 2))$ cannot be simplified further because there are no more common factors and the numerator is not divisible by the denominator.