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Simplify the expression 2x^(2))/(3x^(2)-4x)=

Simplify the expression $\frac{2 x^{2}}{3 x^{2}-4 x}$ =

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Simplify radical expressions involving fractions

Full solution

Q. Simplify the expression

\frac{2 x^{2}}{3 x^{2}-4 x}

=

Identify Factors: Identify common factors in the numerator and the denominator. $\newline$ The numerator is $2x^2$ , and the denominator is $3x^2 - 4x$ . We can factor out an $x$ from the denominator.
Factor Out $x$ : Factor $x$ out of the denominator. $3x^2 - 4x = x(3x - 4)$
Rewrite Expression: Rewrite the original expression with the factored denominator. $\newline$ $(\frac{2x^2}{x(3x - 4)})$
Cancel Common $x$ : Cancel out the common $x$ term from the numerator and denominator. $\newline$ Since $x^2$ is $x*x$ , we can cancel one $x$ from the numerator and one $x$ from the denominator. $\newline$ $(2x * x) / (x * (3x - 4)) = (2x) / (3x - 4)$
Check Further Simplification: Check for any further simplification. $\newline$ The expression $(2x) / (3x - 4)$ cannot be simplified further because there are no common factors left to cancel out.

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