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

The solution to expand ((x-5)^2x)/2 is (x^3)/2-5x^2+(25x)/2

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

expand

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

\frac{x ^{3}}{2} - 5 x^{2} + \frac{25 x}{2}

Solution steps

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

(x - 5)^{2} = x^{2} - 10 x + 25

= \frac{x ( x ^{2} - 10 x + 25 )}{2}

Expand

(x^{2} - 10 x + 25) x : x^{3} - 10 x^{2} + 25 x

= \frac{x ^{3} - 10 x ^{2} + 25 x}{2}

Apply the fraction rule:

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

\frac{x ^{3} - 10 x ^{2} + 25 x}{2} = \frac{x ^{3}}{2} - \frac{10 x ^{2}}{2} + \frac{25 x}{2}

= \frac{x ^{3}}{2} - \frac{10 x ^{2}}{2} + \frac{25 x}{2}

Divide the numbers:

\frac{10}{2} = 5

= \frac{x ^{3}}{2} - 5 x^{2} + \frac{25 x}{2}

\frac{1}{( s - 2 ) ( s ^{2} - 4 s )}

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

(x^{2} + 3 x - 1)^{7} (2 x - 3) d x

(cos (x) + cot (x))^{2}

What is expand ((x-5)^2x)/2 ?
The solution to expand ((x-5)^2x)/2 is (x^3)/2-5x^2+(25x)/2