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

The solution to expand (s+1)^3(s+3) is s^4+6s^3+12s^2+10s+3

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

expand

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

s^{4} + 6 s^{3} + 12 s^{2} + 10 s + 3

Solution steps

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

Expand

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

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

Distribute parentheses

= s^{3} s + s^{3} \cdot 3 + 3 s^{2} s + 3 s^{2} \cdot 3 + 3 ss + 3 s \cdot 3 + 1 \cdot s + 1 \cdot 3

Simplify

s^{3} s + s^{3} \cdot 3 + 3 s^{2} s + 3 s^{2} \cdot 3 + 3 ss + 3 s \cdot 3 + 1 \cdot s + 1 \cdot 3 : s^{4} + 6 s^{3} + 12 s^{2} + 10 s + 3

= s^{4} + 6 s^{3} + 12 s^{2} + 10 s + 3

lo g_{2} (8^{4})

(2 + 7 i) (4 - 6 i)

2 18 k^{5}

\frac{52}{78}

10 x^{2} - 31 x - 14

What is expand (s+1)^3(s+3) ?
The solution to expand (s+1)^3(s+3) is s^4+6s^3+12s^2+10s+3