What is expand (s+1)(s+2)(s+5) ?

The solution to expand (s+1)(s+2)(s+5) is s^3+8s^2+17s+10

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expand (s+1)(s+2)(s+5)

expand

(s + 1) (s + 2) (s + 5)

s^{3} + 8 s^{2} + 17 s + 10

Solution steps

(s + 1) (s + 2) (s + 5)

Expand

(s + 1) (s + 2) (s + 5) : (s^{2} + 3 s + 2) (s + 5)

= (s^{2} + 3 s + 2) (s + 5)

Distribute parentheses

= s^{2} s + s^{2} \cdot 5 + 3 ss + 3 s \cdot 5 + 2 s + 2 \cdot 5

Simplify

s^{2} s + s^{2} \cdot 5 + 3 ss + 3 s \cdot 5 + 2 s + 2 \cdot 5 : s^{3} + 8 s^{2} + 17 s + 10

= s^{3} + 8 s^{2} + 17 s + 10

(2 x + 6) (2 x - 6)

(x + 3) 3

1 \cdot 1 0^{- 1}

cos (2 x) \cdot cos (2 x)

\frac{7}{x ^{2} - 10 x + 16} + \frac{2 x}{x ^{2} - 13 x + 40}

What is expand (s+1)(s+2)(s+5) ?
The solution to expand (s+1)(s+2)(s+5) is s^3+8s^2+17s+10