What is expand ((x+1)^{10})/((4x-8)^{11)} ?

The solution to expand ((x+1)^{10})/((4x-8)^{11)} is

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expand ((x+1)^{10})/((4x-8)^{11)}

expand

\frac{( x + 1 ) ^{10}}{( 4 x - 8 ) ^{11}}

\frac{x ^{10} + 10 x ^{9} + 45 x ^{8} + 120 x ^{7} + 210 x ^{6} + 252 x ^{5} + 210 x ^{4} + 120 x ^{3} + 45 x ^{2} + 10 x + 1}{4194304 x ^{11} - 92274688 x ^{10} + 922746880 x ^{9} - 5536481280 x ^{8} + 22145925120 x ^{7} - 62008590336 x ^{6} + 124017180672 x ^{5} - 2 ^{30} \cdot 165 x ^{4} + 2 ^{30} \cdot 165 x ^{3} - 2 ^{31} \cdot 55 x ^{2} + 8 ^{10} \cdot 44 x - 8 ^{11}}

Solution steps

\frac{( x + 1 ) ^{10}}{( 4 x - 8 ) ^{11}}

(4 x - 8)^{11} = 4194304 x^{11} - 92274688 x^{10} + 922746880 x^{9} - 5536481280 x^{8} + 22145925120 x^{7} - 62008590336 x^{6} + 124017180672 x^{5} - 2^{30} \cdot 165 x^{4} + 2^{30} \cdot 165 x^{3} - 2^{31} \cdot 55 x^{2} + 8^{10} \cdot 44 x - 8^{11}

= \frac{( x + 1 ) ^{10}}{4194304 x ^{11} - 92274688 x ^{10} + 922746880 x ^{9} - 5536481280 x ^{8} + 22145925120 x ^{7} - 62008590336 x ^{6} + 124017180672 x ^{5} - 2 ^{30} \cdot 165 x ^{4} + 2 ^{30} \cdot 165 x ^{3} - 2 ^{31} \cdot 55 x ^{2} + 8 ^{10} \cdot 44 x - 8 ^{11}}

(x + 1)^{10} = x^{10} + 10 x^{9} + 45 x^{8} + 120 x^{7} + 210 x^{6} + 252 x^{5} + 210 x^{4} + 120 x^{3} + 45 x^{2} + 10 x + 1

= \frac{x ^{10} + 10 x ^{9} + 45 x ^{8} + 120 x ^{7} + 210 x ^{6} + 252 x ^{5} + 210 x ^{4} + 120 x ^{3} + 45 x ^{2} + 10 x + 1}{4194304 x ^{11} - 92274688 x ^{10} + 922746880 x ^{9} - 5536481280 x ^{8} + 22145925120 x ^{7} - 62008590336 x ^{6} + 124017180672 x ^{5} - 2 ^{30} \cdot 165 x ^{4} + 2 ^{30} \cdot 165 x ^{3} - 2 ^{31} \cdot 55 x ^{2} + 8 ^{10} \cdot 44 x - 8 ^{11}}

\frac{( s + 1 )}{( s + 2 ) ^{3} ( s + 3 )}

e^{i (θ + x)}

(1 + 3 x^{2} - 2 x^{4})^{6}

\frac{x ( x - 10 )}{2}

- \frac{4}{( x - 3 ) ^{2}}

What is expand ((x+1)^{10})/((4x-8)^{11)} ?
The solution to expand ((x+1)^{10})/((4x-8)^{11)} is