contestada

Simplify the following rational expression.
\dfrac{6x^3}{15x^4 -60x^3}=
15x
4
−60x
3

6x
3

​
=start fraction, 6, x, cubed, divided by, 15, x, start superscript, 4, end superscript, minus, 60, x, cubed, end fraction, equals
Which values of xxx make the expression undefined?
Choose all answers that apply:
Choose all answers that apply:

Respuesta :

Hrishii

Step-by-step explanation:

[tex] \frac{6 {x}^{3} }{15 {x}^{4} - 60x ^{3} } \\ \\ = \frac{6 {x}^{3} }{3 {x}^{3} (5 {x}- 20 )} \\ \\ = \frac{2 }{5 ({x}- 4 )}, \: \: x \neq \: 4\\ \\ [/tex]

x = 4 makes the expression undefined.

Because at x = 4 denominator becomes zero, which makes the expression undefined.

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