What is expand ((x-9)^4)/(3402) ?

The solution to expand ((x-9)^4)/(3402) is (x^4}{3402}-(2x^3)/(189)+\frac{x^2)/7-(6x)/7+27/14

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expand ((x-9)^4)/(3402)

expand

\frac{( x - 9 ) ^{4}}{3402}

\frac{x ^{4}}{3402} - \frac{2 x ^{3}}{189} + \frac{x ^{2}}{7} - \frac{6 x}{7} + \frac{27}{14}

Solution steps

\frac{( x - 9 ) ^{4}}{3402}

(x - 9)^{4} = x^{4} - 36 x^{3} + 486 x^{2} - 2916 x + 6561

= \frac{x ^{4} - 36 x ^{3} + 486 x ^{2} - 2916 x + 6561}{3402}

Apply the fraction rule:

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

\frac{x ^{4} - 36 x ^{3} + 486 x ^{2} - 2916 x + 6561}{3402} = \frac{x ^{4}}{3402} - \frac{36 x ^{3}}{3402} + \frac{486 x ^{2}}{3402} - \frac{2916 x}{3402} + \frac{6561}{3402}

= \frac{x ^{4}}{3402} - \frac{36 x ^{3}}{3402} + \frac{486 x ^{2}}{3402} - \frac{2916 x}{3402} + \frac{6561}{3402}

\frac{36 x ^{3}}{3402} = \frac{2 x ^{3}}{189}

\frac{486 x ^{2}}{3402} = \frac{x ^{2}}{7}

\frac{2916 x}{3402} = \frac{6 x}{7}

\frac{6561}{3402} = \frac{27}{14}

= \frac{x ^{4}}{3402} - \frac{2 x ^{3}}{189} + \frac{x ^{2}}{7} - \frac{6 x}{7} + \frac{27}{14}

(y - x y^{2}) d x - (x + x^{2} y) d y

\frac{1}{( s - 1 ) ( s ^{2} + 9 )}

225

\frac{1 - j}{( 1 + j ) ^{2}}

10 \frac{d y}{d x} + y - 3 H (t - 2)

What is expand ((x-9)^4)/(3402) ?
The solution to expand ((x-9)^4)/(3402) is (x^4}{3402}-(2x^3)/(189)+\frac{x^2)/7-(6x)/7+27/14