What is expand (s+1)(s+2)(s+3)(s+4) ?

The solution to expand (s+1)(s+2)(s+3)(s+4) is s^4+10s^3+35s^2+50s+24

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expand (s+1)(s+2)(s+3)(s+4)

expand

(s + 1) (s + 2) (s + 3) (s + 4)

s^{4} + 10 s^{3} + 35 s^{2} + 50 s + 24

Solution steps

(s + 1) (s + 2) (s + 3) (s + 4)

Expand

(s + 1) (s + 2) (s + 3) (s + 4) : (s^{2} + 3 s + 2) (s + 3) (s + 4)

= (s^{2} + 3 s + 2) (s + 3) (s + 4)

Apply FOIL method

(s + 3) (s + 4) : s^{2} + 7 s + 12

= (s^{2} + 3 s + 2) (s^{2} + 7 s + 12)

Distribute parentheses

= s^{2} s^{2} + s^{2} \cdot 7 s + s^{2} \cdot 12 + 3 s s^{2} + 3 s \cdot 7 s + 3 s \cdot 12 + 2 s^{2} + 2 \cdot 7 s + 2 \cdot 12

Simplify

s^{2} s^{2} + s^{2} \cdot 7 s + s^{2} \cdot 12 + 3 s s^{2} + 3 s \cdot 7 s + 3 s \cdot 12 + 2 s^{2} + 2 \cdot 7 s + 2 \cdot 12 : s^{4} + 10 s^{3} + 35 s^{2} + 50 s + 24

= s^{4} + 10 s^{3} + 35 s^{2} + 50 s + 24

ln (e^{t})

e^{l n (s i n (x))}

\frac{x ^{4} - y ^{4}}{x - y}

(- 4 i)^{3} \cdot 2 i

\frac{6 x ^{7}}{2 x ^{4}}

What is expand (s+1)(s+2)(s+3)(s+4) ?
The solution to expand (s+1)(s+2)(s+3)(s+4) is s^4+10s^3+35s^2+50s+24