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

Factor out common term: Factor out the common term in the denominator. The denominator x^(2) - 3x can be factored by taking out the common x. x^(2) - 3x = x(x - 3)Write with factored denominator: Write the expression with the factored denominator. The expression becomes: (3x^(2)) / (x(x - 3))Look for common factors: Look for common factors in the numerator and the denominator. The numerator 3x^(2) has a common factor of x with the denominator x(x - 3).Cancel out common factor: Cancel out the common factor of x from the numerator and the denominator. (3x^(2)) / (x(x - 3)) = (3x * x) / (x * (x - 3)) Cancel out the x: = (3 * x) / (x - 3)Write simplified expression: Write the simplified expression. The expression is now simplified to: 3x / (x - 3)

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Simplify the expression completely if possible.

(3x^(2))/(x^(2)-3x)
Answer:

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

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Algebra 1

Multiplication with rational exponents

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Q. Simplify the expression completely if possible.

\newline

\frac{3 x^{2}}{x^{2}-3 x}

\newline

Answer:

Factor out common term: Factor out the common term in the denominator. $\newline$ The denominator $x^{2} - 3x$ can be factored by taking out the common $x$ . $\newline$ $x^{2} - 3x = x(x - 3)$
Write with factored denominator: Write the expression with the factored denominator. $\newline$ The expression becomes: $\newline$ $(3x^{2}) / (x(x - 3))$
Look for common factors: Look for common factors in the numerator and the denominator. $\newline$ The numerator $3x^{2}$ has a common factor of $x$ with the denominator $x(x - 3)$ .
Cancel out common factor: Cancel out the common factor of $x$ from the numerator and the denominator. $\newline$ $(3x^{2}) / (x(x - 3)) = (3x \cdot x) / (x \cdot (x - 3))$ $\newline$ Cancel out the $x$ : $\newline$ $= (3 \cdot x) / (x - 3)$
Write simplified expression: Write the simplified expression. $\newline$ The expression is now simplified to: $\newline$ $\frac{3x}{x - 3}$