What is expand (x(4x^4-10x^2-5))/2 ?

The solution to expand (x(4x^4-10x^2-5))/2 is 2x^5-5x^3-(5x)/2

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expand (x(4x^4-10x^2-5))/2

expand

\frac{x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2}

2 x^{5} - 5 x^{3} - \frac{5 x}{2}

Solution steps

\frac{x ( 4 x ^{4} - 10 x ^{2} - 5 )}{2}

Expand

x (4 x^{4} - 10 x^{2} - 5) : 4 x^{5} - 10 x^{3} - 5 x

= \frac{4 x ^{5} - 10 x ^{3} - 5 x}{2}

Apply the fraction rule:

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

\frac{4 x ^{5} - 10 x ^{3} - 5 x}{2} = \frac{4 x ^{5}}{2} - \frac{10 x ^{3}}{2} - \frac{5 x}{2}

= \frac{4 x ^{5}}{2} - \frac{10 x ^{3}}{2} - \frac{5 x}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 x^{5} - \frac{10 x ^{3}}{2} - \frac{5 x}{2}

Divide the numbers:

\frac{10}{2} = 5

= 2 x^{5} - 5 x^{3} - \frac{5 x}{2}

\frac{( ( x + 1 ) ( x + 2 ) ( x + 3 ) ( x + 4 ) )}{( x ^{2} + 5 x )}

\frac{d}{d t} ((f (t)) (2 e^{(t^{3})} + 2 cos (3 t)))

\frac{5 ( x - 2 )}{x - 1}

\frac{z ( k z + 5 )}{z ^{4} + k z ^{2} + 5.1 z + 0.5} + 1

What is expand (x(4x^4-10x^2-5))/2 ?
The solution to expand (x(4x^4-10x^2-5))/2 is 2x^5-5x^3-(5x)/2