What is expand (s+a)*(s+b)*(s+c)*(s+d)*(s+e) ?

The solution to expand (s+a)*(s+b)*(s+c)*(s+d)*(s+e) is

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expand (s+a)(s+b)(s+c)(s+d)(s+e)

expand

(s + a) \cdot (s + b) \cdot (s + c) \cdot (s + d) \cdot (s + e)

s^{5} + e s^{4} + d s^{4} + e d s^{3} + c s^{4} + ec s^{3} + c d s^{3} + ec d s^{2} + b s^{4} + e b s^{3} + b d s^{3} + e b d s^{2} + b c s^{3} + e b c s^{2} + b c d s^{2} + e b c d s + a s^{4} + e a s^{3} + a d s^{3} + e a d s^{2} + a c s^{3} + e a c s^{2} + a c d s^{2} + e a c d s + ab s^{3} + e ab s^{2} + ab d s^{2} + e ab d s + ab c s^{2} + e ab cs + ab c d s + e ab c d

Solution steps

(s + a) (s + b) (s + c) (s + d) (s + e)

Expand

(s + a) (s + b) : s^{2} + b s + a s + ab

= (s^{2} + b s + a s + ab) (s + c) (s + d) (s + e)

Expand

(s^{2} + b s + a s + ab) (s + c) : s^{3} + c s^{2} + b s^{2} + b cs + a s^{2} + a cs + ab s + ab c

= (s^{3} + c s^{2} + b s^{2} + b cs + a s^{2} + a cs + ab s + ab c) (s + d) (s + e)

Expand

(s^{3} + c s^{2} + b s^{2} + b cs + a s^{2} + a cs + ab s + ab c) (s + d) : s^{4} + d s^{3} + c s^{3} + c d s^{2} + b s^{3} + b d s^{2} + b c s^{2} + b c d s + a s^{3} + a d s^{2} + a c s^{2} + a c d s + ab s^{2} + ab d s + ab cs + ab c d

= (s^{4} + d s^{3} + c s^{3} + c d s^{2} + b s^{3} + b d s^{2} + b c s^{2} + b c d s + a s^{3} + a d s^{2} + a c s^{2} + a c d s + ab s^{2} + ab d s + ab cs + ab c d) (s + e)

Expand

(s^{4} + d s^{3} + c s^{3} + c d s^{2} + b s^{3} + b d s^{2} + b c s^{2} + b c d s + a s^{3} + a d s^{2} + a c s^{2} + a c d s + ab s^{2} + ab d s + ab cs + ab c d) (s + e) : s^{5} + e s^{4} + d s^{4} + e d s^{3} + c s^{4} + ec s^{3} + c d s^{3} + ec d s^{2} + b s^{4} + e b s^{3} + b d s^{3} + e b d s^{2} + b c s^{3} + e b c s^{2} + b c d s^{2} + e b c d s + a s^{4} + e a s^{3} + a d s^{3} + e a d s^{2} + a c s^{3} + e a c s^{2} + a c d s^{2} + e a c d s + ab s^{3} + e ab s^{2} + ab d s^{2} + e ab d s + ab c s^{2} + e ab cs + ab c d s + e ab c d

= s^{5} + e s^{4} + d s^{4} + e d s^{3} + c s^{4} + ec s^{3} + c d s^{3} + ec d s^{2} + b s^{4} + e b s^{3} + b d s^{3} + e b d s^{2} + b c s^{3} + e b c s^{2} + b c d s^{2} + e b c d s + a s^{4} + e a s^{3} + a d s^{3} + e a d s^{2} + a c s^{3} + e a c s^{2} + a c d s^{2} + e a c d s + ab s^{3} + e ab s^{2} + ab d s^{2} + e ab d s + ab c s^{2} + e ab cs + ab c d s + e ab c d

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

\frac{125 ( π + 200 )}{π}

\frac{( x ^{5} + 3 ) ^{10}}{10}

\frac{- 3}{3 ^{2} - 3 - 2}

\frac{3 x ( 2 + 9 x ^{\frac{2}{3}} )}{2} + x (ln (x) + 1)

What is expand (s+a)*(s+b)*(s+c)*(s+d)*(s+e) ?
The solution to expand (s+a)*(s+b)*(s+c)*(s+d)*(s+e) is