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

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

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expand (x^3(4-x^2))/2

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{2} = 2

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

Rewrite in standard form

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

(c + \frac{1}{c})^{6}

2 π (r^{3})

100 (2.2 + 7.5 = 133.56)

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

\frac{16 π ( 125 - 21 21 )}{3}

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