What is expand-1/2 s(s+1)(s+5)(s+10) ?

The solution to expand-1/2 s(s+1)(s+5)(s+10) is -(s^4)/2-8s^3-(65s^2)/2-25s

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expand-1/2 s(s+1)(s+5)(s+10)

expand

- \frac{1}{2} s (s + 1) (s + 5) (s + 10)

- \frac{s ^{4}}{2} - 8 s^{3} - \frac{65 s ^{2}}{2} - 25 s

Solution steps

- \frac{1}{2} s (s + 1) (s + 5) (s + 10)

Expand

- \frac{1}{2} s (s + 1) (s + 5) (s + 10) : - \frac{1}{2} s (s^{2} + 6 s + 5) (s + 10)

= - \frac{1}{2} s (s^{2} + 6 s + 5) (s + 10)

Expand

- \frac{1}{2} s (s + 10) : - \frac{s ^{2}}{2} - 5 s

= (- \frac{s ^{2}}{2} - 5 s) (s^{2} + 6 s + 5)

Distribute parentheses

= - \frac{s ^{2}}{2} s^{2} - \frac{s ^{2}}{2} \cdot 6 s - \frac{s ^{2}}{2} \cdot 5 - 5 s s^{2} - 5 s \cdot 6 s - 5 s \cdot 5

Simplify

- \frac{s ^{2}}{2} s^{2} - \frac{s ^{2}}{2} \cdot 6 s - \frac{s ^{2}}{2} \cdot 5 - 5 s s^{2} - 5 s \cdot 6 s - 5 s \cdot 5 : - \frac{s ^{4}}{2} - 8 s^{3} - \frac{65 s ^{2}}{2} - 25 s

= - \frac{s ^{4}}{2} - 8 s^{3} - \frac{65 s ^{2}}{2} - 25 s

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What is expand-1/2 s(s+1)(s+5)(s+10) ?
The solution to expand-1/2 s(s+1)(s+5)(s+10) is -(s^4)/2-8s^3-(65s^2)/2-25s