What is expand (5(1-y)^4)/(y^5+1) ?

The solution to expand (5(1-y)^4)/(y^5+1) is (5-20y+30y^2-20y^3+5y^4)/(y^5+1)

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expand (5(1-y)^4)/(y^5+1)

expand

\frac{5 ( 1 - y ) ^{4}}{y ^{5} + 1}

\frac{5 - 20 y + 30 y ^{2} - 20 y ^{3} + 5 y ^{4}}{y ^{5} + 1}

Solution steps

\frac{5 ( 1 - y ) ^{4}}{y ^{5} + 1}

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

= \frac{5 ( y ^{4} - 4 y ^{3} + 6 y ^{2} - 4 y + 1 )}{y ^{5} + 1}

Expand

5 (1 - 4 y + 6 y^{2} - 4 y^{3} + y^{4}) : 5 - 20 y + 30 y^{2} - 20 y^{3} + 5 y^{4}

= \frac{5 - 20 y + 30 y ^{2} - 20 y ^{3} + 5 y ^{4}}{y ^{5} + 1}

\frac{( 1 , 2 i )}{( 1 - i ) - i} + \frac{( 2 , i )}{( 1 , 2 i )} (1 - i)

- y d x + (x + x y) d y

\frac{( 16 x ^{2} + 1 ) ^{2}}{64 x ^{2}}

\frac{x + 6}{( x + 2 ) \cdot ( x + 3 )}

\frac{( a - b c ) ^{2}}{4 n ^{2}}

What is expand (5(1-y)^4)/(y^5+1) ?
The solution to expand (5(1-y)^4)/(y^5+1) is (5-20y+30y^2-20y^3+5y^4)/(y^5+1)