What is expand sqrt(s^2(s^2+1)^3+1) ?

The solution to expand sqrt(s^2(s^2+1)^3+1) is sqrt(s^8+3s^6+3s^4+s^2+1)

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expand sqrt(s^2(s^2+1)^3+1)

expand

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

s^{8} + 3 s^{6} + 3 s^{4} + s^{2} + 1

Solution steps

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

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

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

Expand

s^{2} (s^{6} + 3 s^{4} + 3 s^{2} + 1) + 1 : s^{8} + 3 s^{6} + 3 s^{4} + s^{2} + 1

= s^{8} + 3 s^{6} + 3 s^{4} + s^{2} + 1

y^{\frac{5}{3}} (1 + y)

\frac{i}{( x + i y ) ^{3}}

(2 cos (x) - 2) (cos (x) - 3)

x^{(\frac{1}{3})} \cdot (x - 4)

\frac{( 25.5 \cdot s + 121 )}{( ( s ^{2} + 17.2 ) \cdot ( s + 6.24 ) )}

What is expand sqrt(s^2(s^2+1)^3+1) ?
The solution to expand sqrt(s^2(s^2+1)^3+1) is sqrt(s^8+3s^6+3s^4+s^2+1)