What is expand (-4x+21)/(3(7-x)^{2/3)} ?

The solution to expand (-4x+21)/(3(7-x)^{2/3)} is -(4x)/(3(7-x)^{2/3)}+7/((7-x)^{2/3)}

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expand (-4x+21)/(3(7-x)^{2/3)}

expand

\frac{- 4 x + 21}{3 ( 7 - x ) ^{\frac{2}{3}}}

- \frac{4 x}{3 ( 7 - x ) ^{\frac{2}{3}}} + \frac{7}{( 7 - x ) ^{\frac{2}{3}}}

Solution steps

\frac{- 4 x + 21}{3 ( 7 - x ) ^{\frac{2}{3}}}

Apply the fraction rule:

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

\frac{- 4 x + 21}{3 ( 7 - x ) ^{\frac{2}{3}}} = - \frac{4 x}{3 ( 7 - x ) ^{\frac{2}{3}}} + \frac{21}{3 ( 7 - x ) ^{\frac{2}{3}}}

= - \frac{4 x}{3 ( - x + 7 ) ^{\frac{2}{3}}} + \frac{21}{3 ( - x + 7 ) ^{\frac{2}{3}}}

Divide the numbers:

\frac{21}{3} = 7

= - \frac{4 x}{3 ( - x + 7 ) ^{\frac{2}{3}}} + \frac{7}{( - x + 7 ) ^{\frac{2}{3}}}

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

2 (e^{4} - 1)

(2 - x + 3) (2 + x + 3)

(4 - x - 2)^{2}

3 (7 + 2)

What is expand (-4x+21)/(3(7-x)^{2/3)} ?
The solution to expand (-4x+21)/(3(7-x)^{2/3)} is -(4x)/(3(7-x)^{2/3)}+7/((7-x)^{2/3)}