What is expand ((x+3)^2x(x-3)^3(x-7)^2)/(10000) ?

The solution to expand ((x+3)^2x(x-3)^3(x-7)^2)/(10000) is

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expand ((x+3)^2x(x-3)^3(x-7)^2)/(10000)

expand

\frac{( x + 3 ) ^{2} x ( x - 3 ) ^{3} ( x - 7 ) ^{2}}{10000}

\frac{x ^{8}}{10000} - \frac{17 x ^{7}}{10000} + \frac{73 x ^{6}}{10000} + \frac{159 x ^{5}}{10000} - \frac{1557 x ^{4}}{10000} + \frac{1269 x ^{3}}{10000} + \frac{7371 x ^{2}}{10000} - \frac{11907 x}{10000}

Solution steps

\frac{( x + 3 ) ^{2} x ( x - 3 ) ^{3} ( x - 7 ) ^{2}}{10000}

(x + 3)^{2} = x^{2} + 6 x + 9

= \frac{x ( x ^{2} + 6 x + 9 ) ( x - 3 ) ^{3} ( x - 7 ) ^{2}}{10000}

(x - 3)^{3} = x^{3} - 9 x^{2} + 27 x - 27

= \frac{x ( x ^{2} + 6 x + 9 ) ( x ^{3} - 9 x ^{2} + 27 x - 27 ) ( x - 7 ) ^{2}}{10000}

(x - 7)^{2} = x^{2} - 14 x + 49

= \frac{x ( x ^{2} + 6 x + 9 ) ( x ^{3} - 9 x ^{2} + 27 x - 27 ) ( x ^{2} - 14 x + 49 )}{10000}

Expand

(x^{2} + 6 x + 9) x (x^{3} - 9 x^{2} + 27 x - 27) (x^{2} - 14 x + 49) : x^{8} - 17 x^{7} + 73 x^{6} + 159 x^{5} - 1557 x^{4} + 1269 x^{3} + 7371 x^{2} - 11907 x

= \frac{x ^{8} - 17 x ^{7} + 73 x ^{6} + 159 x ^{5} - 1557 x ^{4} + 1269 x ^{3} + 7371 x ^{2} - 11907 x}{10000}

Apply the fraction rule:

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

\frac{x ^{8} - 17 x ^{7} + 73 x ^{6} + 159 x ^{5} - 1557 x ^{4} + 1269 x ^{3} + 7371 x ^{2} - 11907 x}{10000} = \frac{x ^{8}}{10000} - \frac{17 x ^{7}}{10000} + \frac{73 x ^{6}}{10000} + \frac{159 x ^{5}}{10000} - \frac{1557 x ^{4}}{10000} + \frac{1269 x ^{3}}{10000} + \frac{7371 x ^{2}}{10000} - \frac{11907 x}{10000}

= \frac{x ^{8}}{10000} - \frac{17 x ^{7}}{10000} + \frac{73 x ^{6}}{10000} + \frac{159 x ^{5}}{10000} - \frac{1557 x ^{4}}{10000} + \frac{1269 x ^{3}}{10000} + \frac{7371 x ^{2}}{10000} - \frac{11907 x}{10000}

(1 + i 2)^{6}

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

(x^{2} + 2 x) (9 - x)

- 2 l e f t (x + \frac{1}{7})

\frac{1 - e ^{- s}}{( s ^{2} + 2 s + 17 ) ( s )}

What is expand ((x+3)^2x(x-3)^3(x-7)^2)/(10000) ?
The solution to expand ((x+3)^2x(x-3)^3(x-7)^2)/(10000) is