What is expand (s+3-i)(s+3+i)(s+10)(s+11) ?

The solution to expand (s+3-i)(s+3+i)(s+10)(s+11) is s^4+27s^3+246s^2+870s+1100

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expand (s+3-i)(s+3+i)(s+10)(s+11)

expand

(s + 3 - i) (s + 3 + i) (s + 10) (s + 11)

s^{4} + 27 s^{3} + 246 s^{2} + 870 s + 1100

Solution steps

(s + 3 - i) (s + 3 + i) (s + 10) (s + 11)

Expand

(s + 3 - i) (s + 3 + i) (s + 10) (s + 11) : (s + 3 - i) (s + 3 + i) (s^{2} + 21 s + 110)

= (s + 3 - i) (s + 3 + i) (s^{2} + 21 s + 110)

Expand

(s + 3 - i) (s + 3 + i) : s^{2} + 6 s + 10

= (s^{2} + 6 s + 10) (s^{2} + 21 s + 110)

Distribute parentheses

= s^{2} s^{2} + s^{2} \cdot 21 s + s^{2} \cdot 110 + 6 s s^{2} + 6 s \cdot 21 s + 6 s \cdot 110 + 10 s^{2} + 10 \cdot 21 s + 10 \cdot 110

Simplify

s^{2} s^{2} + s^{2} \cdot 21 s + s^{2} \cdot 110 + 6 s s^{2} + 6 s \cdot 21 s + 6 s \cdot 110 + 10 s^{2} + 10 \cdot 21 s + 10 \cdot 110 : s^{4} + 27 s^{3} + 246 s^{2} + 870 s + 1100

= s^{4} + 27 s^{3} + 246 s^{2} + 870 s + 1100

cot (θ) cos (θ) - csc (θ) (cos^{2} (θ) - sin^{2} (x))

(x^{2} + x - 2 + (3 - x) (x + 2))^{2}

(1 + sin (t))^{2}

t (x) x^{^{''}} + (2 t (x) - 4) x^{^{'}} + 2 x

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

What is expand (s+3-i)(s+3+i)(s+10)(s+11) ?
The solution to expand (s+3-i)(s+3+i)(s+10)(s+11) is s^4+27s^3+246s^2+870s+1100