What is expand (-4x+57)/(3(19-x)^{2/3)} ?

The solution to expand (-4x+57)/(3(19-x)^{2/3)} is -(4x)/(3(19-x)^{2/3)}+(19)/((19-x)^{2/3)}

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expand (-4x+57)/(3(19-x)^{2/3)}

expand

\frac{- 4 x + 57}{3 ( 19 - x ) ^{\frac{2}{3}}}

- \frac{4 x}{3 ( 19 - x ) ^{\frac{2}{3}}} + \frac{19}{( 19 - x ) ^{\frac{2}{3}}}

Solution steps

\frac{- 4 x + 57}{3 ( 19 - x ) ^{\frac{2}{3}}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 4 x + 57}{3 ( 19 - x ) ^{\frac{2}{3}}} = - \frac{4 x}{3 ( 19 - x ) ^{\frac{2}{3}}} + \frac{57}{3 ( 19 - x ) ^{\frac{2}{3}}}

= - \frac{4 x}{3 ( - x + 19 ) ^{\frac{2}{3}}} + \frac{57}{3 ( - x + 19 ) ^{\frac{2}{3}}}

Divide the numbers:

\frac{57}{3} = 19

= - \frac{4 x}{3 ( - x + 19 ) ^{\frac{2}{3}}} + \frac{19}{( - x + 19 ) ^{\frac{2}{3}}}

(1 + 2 cos (x))^{2}

\frac{( x + h ) ^{2} - 1 - x ^{2} - 1}{h}

e^{2 x} (2 x + 1)

(2 x - 3 y^{2}) d x

(x + i y)^{2} - 1

What is expand (-4x+57)/(3(19-x)^{2/3)} ?
The solution to expand (-4x+57)/(3(19-x)^{2/3)} is -(4x)/(3(19-x)^{2/3)}+(19)/((19-x)^{2/3)}