What is expand (4b(ab^2-a^5))/((a^4+b^2)^2) ?

The solution to expand (4b(ab^2-a^5))/((a^4+b^2)^2) is (4b^3a-4ba^5)/(a^8+2b^2a^4+b^4)

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expand (4b(ab^2-a^5))/((a^4+b^2)^2)

expand

\frac{4 b ( a b ^{2} - a ^{5} )}{( a ^{4} + b ^{2} ) ^{2}}

\frac{4 b ^{3} a - 4 b a ^{5}}{a ^{8} + 2 b ^{2} a ^{4} + b ^{4}}

Solution steps

\frac{4 b ( a b ^{2} - a ^{5} )}{( a ^{4} + b ^{2} ) ^{2}}

(a^{4} + b^{2})^{2} = a^{8} + 2 b^{2} a^{4} + b^{4}

= \frac{4 b ( - a ^{5} + b ^{2} a )}{a ^{8} + 2 b ^{2} a ^{4} + b ^{4}}

Expand

4 b (a b^{2} - a^{5}) : 4 b^{3} a - 4 b a^{5}

= \frac{4 b ^{3} a - 4 b a ^{5}}{a ^{8} + 2 b ^{2} a ^{4} + b ^{4}}

\frac{8640 e ^{- 0.96 t}}{( 1 + 3 e ^{- 0.96 t} ) ^{2}}

c (1 - \frac{u ^{2}}{x ^{2}})

\frac{1}{\frac{1}{\frac{1}{r _{1}} + \frac{1}{r _{2}}} + \frac{1}{r _{π}}}

\frac{4 x ^{3} + 20 x ^{2} + 32 x + 13}{x ^{2} ( x ^{2} + 6 x + 13 )}

\frac{( - \frac{6}{5} x ^{3} y ^{2} )}{( \frac{3}{5} x ^{2} y ^{2} )}

What is expand (4b(ab^2-a^5))/((a^4+b^2)^2) ?
The solution to expand (4b(ab^2-a^5))/((a^4+b^2)^2) is (4b^3a-4ba^5)/(a^8+2b^2a^4+b^4)