What is expand (27(4-s)^9)/((-4s^3+48s^2-192s+229)^3) ?

The solution to expand (27(4-s)^9)/((-4s^3+48s^2-192s+229)^3) is

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expand (27(4-s)^9)/((-4s^3+48s^2-192s+229)^3)

expand

\frac{27 ( 4 - s ) ^{9}}{( - 4 s ^{3} + 48 s ^{2} - 192 s + 229 ) ^{3}}

\frac{7077888 - 15925248 s + 15925248 s ^{2} - 9289728 s ^{3} + 3483648 s ^{4} - 870912 s ^{5} + 145152 s ^{6} - 15552 s ^{7} + 972 s ^{8} - 27 s ^{9}}{- 64 s ^{9} + 2304 s ^{8} - 36864 s ^{7} + 342768 s ^{6} - 2033280 s ^{5} + 7946496 s ^{4} - 20369964 s ^{3} + 32877072 s ^{2} - 30206016 s + 12008989}

Solution steps

\frac{27 ( 4 - s ) ^{9}}{( - 4 s ^{3} + 48 s ^{2} - 192 s + 229 ) ^{3}}

(- 4 s^{3} + 48 s^{2} - 192 s + 229)^{3} = - 64 s^{9} + 2304 s^{8} - 36864 s^{7} + 342768 s^{6} - 2033280 s^{5} + 7946496 s^{4} - 20369964 s^{3} + 32877072 s^{2} - 30206016 s + 12008989

= \frac{27 ( - s + 4 ) ^{9}}{( - 64 s ^{9} + 2304 s ^{8} - 36864 s ^{7} + 342768 s ^{6} - 2033280 s ^{5} + 7946496 s ^{4} - 20369964 s ^{3} + 32877072 s ^{2} - 30206016 s + 12008989 )}

(4 - s)^{9} = 262144 - 589824 s + 589824 s^{2} - 344064 s^{3} + 129024 s^{4} - 32256 s^{5} + 5376 s^{6} - 576 s^{7} + 36 s^{8} - s^{9}

= \frac{27 ( - s ^{9} + 36 s ^{8} - 576 s ^{7} + 5376 s ^{6} - 32256 s ^{5} + 129024 s ^{4} - 344064 s ^{3} + 589824 s ^{2} - 589824 s + 262144 )}{( - 64 s ^{9} + 2304 s ^{8} - 36864 s ^{7} + 342768 s ^{6} - 2033280 s ^{5} + 7946496 s ^{4} - 20369964 s ^{3} + 32877072 s ^{2} - 30206016 s + 12008989 )}

Remove parentheses:

(- a) = - a

= \frac{27 ( 262144 - 589824 s + 589824 s ^{2} - 344064 s ^{3} + 129024 s ^{4} - 32256 s ^{5} + 5376 s ^{6} - 576 s ^{7} + 36 s ^{8} - s ^{9} )}{- 64 s ^{9} + 2304 s ^{8} - 36864 s ^{7} + 342768 s ^{6} - 2033280 s ^{5} + 7946496 s ^{4} - 20369964 s ^{3} + 32877072 s ^{2} - 30206016 s + 12008989}

Expand

27 (262144 - 589824 s + 589824 s^{2} - 344064 s^{3} + 129024 s^{4} - 32256 s^{5} + 5376 s^{6} - 576 s^{7} + 36 s^{8} - s^{9}) : 7077888 - 15925248 s + 15925248 s^{2} - 9289728 s^{3} + 3483648 s^{4} - 870912 s^{5} + 145152 s^{6} - 15552 s^{7} + 972 s^{8} - 27 s^{9}

= \frac{7077888 - 15925248 s + 15925248 s ^{2} - 9289728 s ^{3} + 3483648 s ^{4} - 870912 s ^{5} + 145152 s ^{6} - 15552 s ^{7} + 972 s ^{8} - 27 s ^{9}}{- 64 s ^{9} + 2304 s ^{8} - 36864 s ^{7} + 342768 s ^{6} - 2033280 s ^{5} + 7946496 s ^{4} - 20369964 s ^{3} + 32877072 s ^{2} - 30206016 s + 12008989}

(4 + i x)^{2}

- 2 (1 + 2)

2 i (cos (x) + i sin (x)) (2 - cos (x) + i sin (x))^{2}

\frac{x ^{5}}{( x ^{2} + 4 ) ^{3}}

(1 + 2 e)^{3}

What is expand (27(4-s)^9)/((-4s^3+48s^2-192s+229)^3) ?
The solution to expand (27(4-s)^9)/((-4s^3+48s^2-192s+229)^3) is