What is expand (a^2+2as+s^2-b^2)/((a+s)^3) ?

The solution to expand (a^2+2as+s^2-b^2)/((a+s)^3) is (a^2+2as+s^2-b^2)/(a^3+3a^2s+3as^2+s^3)

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expand (a^2+2as+s^2-b^2)/((a+s)^3)

expand

\frac{a ^{2} + 2 a s + s ^{2} - b ^{2}}{( a + s ) ^{3}}

\frac{a ^{2} + 2 a s + s ^{2} - b ^{2}}{a ^{3} + 3 a ^{2} s + 3 a s ^{2} + s ^{3}}

Solution steps

\frac{a ^{2} + 2 a s + s ^{2} - b ^{2}}{( a + s ) ^{3}}

(a + s)^{3} = a^{3} + 3 a^{2} s + 3 a s^{2} + s^{3}

= \frac{a ^{2} + 2 a s + s ^{2} - b ^{2}}{a ^{3} + 3 a ^{2} s + 3 a s ^{2} + s ^{3}}

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

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(\frac{x ^{3}}{3} - \frac{2}{x ^{2}})^{10}

\frac{π}{3} ((18 + y) (3 + \frac{y}{6})^{2} - 21 \cdot 3^{2}) y

What is expand (a^2+2as+s^2-b^2)/((a+s)^3) ?
The solution to expand (a^2+2as+s^2-b^2)/((a+s)^3) is (a^2+2as+s^2-b^2)/(a^3+3a^2s+3as^2+s^3)