What is expand (-3+sqrt(9-4(-2x^3-x)))/2 ?

The solution to expand (-3+sqrt(9-4(-2x^3-x)))/2 is -3/2+(sqrt(9+8x^3+4x))/2

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expand (-3+sqrt(9-4(-2x^3-x)))/2

expand

\frac{- 3 + 9 - 4 ( - 2 x ^{3} - x )}{2}

- \frac{3}{2} + \frac{9 + 8 x ^{3} + 4 x}{2}

Solution steps

\frac{- 3 + 9 - 4 ( - 2 x ^{3} - x )}{2}

Expand

9 - 4 (- 2 x^{3} - x) : 9 + 8 x^{3} + 4 x

= \frac{- 3 + 8 x ^{3} + 4 x + 9}{2}

Apply the fraction rule:

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

\frac{- 3 + 9 + 8 x ^{3} + 4 x}{2} = - \frac{3}{2} + \frac{9 + 8 x ^{3} + 4 x}{2}

= - \frac{3}{2} + \frac{8 x ^{3} + 4 x + 9}{2}

2 π (\frac{π}{6} + \frac{3}{4})

\frac{( 6 x ^{2} - 1 )}{x ^{2} ( x ^{2} + 2 x )}

\frac{2 x ^{3} - x ^{2}}{( 4 x ^{2} + 4 x + 5 ) ^{2}}

(2 y - x) d x

\frac{- 2 ( x + y ) + 3}{( x + y )}

What is expand (-3+sqrt(9-4(-2x^3-x)))/2 ?
The solution to expand (-3+sqrt(9-4(-2x^3-x)))/2 is -3/2+(sqrt(9+8x^3+4x))/2