What is expand (s+2)(s+3)(s+5) ?

The solution to expand (s+2)(s+3)(s+5) is s^3+10s^2+31s+30

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expand (s+2)(s+3)(s+5)

expand

(s + 2) (s + 3) (s + 5)

s^{3} + 10 s^{2} + 31 s + 30

Solution steps

(s + 2) (s + 3) (s + 5)

Expand

(s + 2) (s + 3) (s + 5) : (s^{2} + 5 s + 6) (s + 5)

= (s^{2} + 5 s + 6) (s + 5)

Distribute parentheses

= s^{2} s + s^{2} \cdot 5 + 5 ss + 5 s \cdot 5 + 6 s + 6 \cdot 5

Simplify

s^{2} s + s^{2} \cdot 5 + 5 ss + 5 s \cdot 5 + 6 s + 6 \cdot 5 : s^{3} + 10 s^{2} + 31 s + 30

= s^{3} + 10 s^{2} + 31 s + 30

(a - 1)^{3}

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

(3 a^{2} + 1) - (4 + 2 a^{2})

2 \times \frac{1}{4}

What is expand (s+2)(s+3)(s+5) ?
The solution to expand (s+2)(s+3)(s+5) is s^3+10s^2+31s+30