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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{4} = 1

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

Rewrite in standard form

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

- \frac{2 x ^{2} ( 15 y ^{4} + 2 x ^{4} )}{25 y ^{4}}

(t^{2} - sin (t)) d t

\frac{( 1125 b ^{2} + 256 a ^{3} ) ^{3}}{125000000}

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

(4 - 4 x - y)^{2} (x^{2} y)

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