How do you simplify and find the excluded values of $\frac{x^{2} + 2 x}{3 x - 5}$ $(x^2 + 2x)/( 3x - 5)$ ?

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How do you simplify and find the excluded values of $\frac{x^{2} + 2 x}{3 x - 5}$ $(x^2 + 2x)/( 3x - 5)$ ?

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Answer 1 · 2018-02-18T13:34:59

$\frac{x (x + 2)}{3 x - 5} \to x \neq \frac{5}{3}$ $(x(x+2))/(3x-5)tox!=5/3$

Explanation:

$this rational function can only be simplified by factoring$ $"this rational function can only be simplified by factoring"$
$the numerator$ $"the numerator"$

$take out a common factor of x$ $"take out a "color(blue)"common factor of x"$

$\Rightarrow \frac{x (x + 2)}{3 x - 5}$ $rArr(x(x+2))/(3x-5)$

$the denominator cannot equal zero as this would$ $"the denominator cannot equal zero as this would"$
$make the function undefined$ $"make the function undefined"$

$3 x - 5 = 0 \Rightarrow x = \frac{5}{3} \leftarrow excluded value$ $3x-5=0rArrx=5/3larrcolor(red)"excluded value"$

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How do you simplify and find the excluded values of $\frac{x^{2} + 2 x}{3 x - 5}$ $(x^2 + 2x)/( 3x - 5)$ ?

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Explanation:

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How do you simplify and find the excluded values of (x^2 + 2x)/( 3x - 5)x2+2x3x−5(x^2 + 2x)/( 3x - 5)?

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Explanation:

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How do you simplify and find the excluded values of $\frac{x^{2} + 2 x}{3 x - 5}$ $(x^2 + 2x)/( 3x - 5)$ ?