What is expand-3447(s+s')^4 ?

The solution to expand-3447(s+s')^4 is -3447s^4-13788s^3s'-20682s^2(s')^2-13788s(s')^3-3447(s')^4

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expand-3447(s+s')^4

expand

- 3447 (s + s^{'})^{4}

- 3447 s^{4} - 13788 s^{3} s' - 20682 s^{2} (s')^{2} - 13788 s (s')^{3} - 3447 (s')^{4}

Solution steps

- 3447 (s + s^{'})^{4}

(s + s^{'})^{4} = s^{4} + 4 s^{3} s^{'} + 6 s^{2} (s^{'})^{2} + 4 s (s^{'})^{3} + (s^{'})^{4}

= - 3447 (s^{4} + 4 s^{3} s^{^{'}} + 6 s^{2} (s^{^{'}})^{2} + 4 s (s^{^{'}})^{3} + (s^{^{'}})^{4})

Distribute parentheses

= (- 3447) s^{4} + (- 3447) \cdot 4 s^{3} s^{^{'}} + (- 3447) \cdot 6 s^{2} (s^{^{'}})^{2} + (- 3447) \cdot 4 s (s^{^{'}})^{3} + (- 3447) (s^{^{'}})^{4}

Apply minus-plus rules

+ (- a) = - a

= - 3447 s^{4} - 3447 \cdot 4 s^{3} s^{^{'}} - 3447 \cdot 6 s^{2} (s^{^{'}})^{2} - 3447 \cdot 4 s (s^{^{'}})^{3} - 3447 (s^{^{'}})^{4}

Simplify

- 3447 s^{4} - 3447 \cdot 4 s^{3} s^{'} - 3447 \cdot 6 s^{2} (s^{'})^{2} - 3447 \cdot 4 s (s^{'})^{3} - 3447 (s^{'})^{4} : - 3447 s^{4} - 13788 s^{3} s^{'} - 20682 s^{2} (s^{'})^{2} - 13788 s (s^{'})^{3} - 3447 (s^{'})^{4}

= - 3447 s^{4} - 13788 s^{3} s^{'} - 20682 s^{2} (s^{'})^{2} - 13788 s (s^{'})^{3} - 3447 (s^{'})^{4}

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sec (\frac{x}{2}) tan (\frac{x}{2}) + 2 (x - 10)^{3} + e^{5 x}

(3 + 5 i)^{5}

e^{y} (e^{- y} + 1)^{3} \frac{d y}{d x}

What is expand-3447(s+s')^4 ?
The solution to expand-3447(s+s')^4 is -3447s^4-13788s^3s'-20682s^2(s')^2-13788s(s')^3-3447(s')^4