expand pi(2sqrt(3)-csc(x)-cot(x))^2

פתרון

expand

π (23 - csc (x) - cot (x))^{2}

- 43 π csc (x) - 43 π cot (x) + π csc^{2} (x) + 2 π cot (x) csc (x) + π cot^{2} (x) + 12 π

צעדי פתרון

π (23 - csc (x) - cot (x))^{2}

(23 - csc (x) - cot (x))^{2} = - 43 csc (x) - 43 cot (x) + csc^{2} (x) + 2 cot (x) csc (x) + cot^{2} (x) + 12

= π (csc^{2} (x) + cot^{2} (x) + 2 cot (x) csc (x) - 43 csc (x) - 43 cot (x) + 12)

הפעל את חוק מכפלת הסוגריים

= π (- 43 csc (x)) + π (- 43 cot (x)) + π csc^{2} (x) + π 2 cot (x) csc (x) + π cot^{2} (x) + π 12

הפעל חוקי מינוס-פלוס

+ (- a) = - a

= - 43 π csc (x) - 43 π cot (x) + π csc^{2} (x) + 2 π cot (x) csc (x) + π cot^{2} (x) + 12 π

e x p an d \frac{( ( x + 1 ) ( x + 3 ) ( 2 x - 3 ) )}{( ( x + 5 ) ( x - 3 ) )}

e x p an d \frac{230 ( 1 7 ^{- r + 1} - 1 )}{- r + 1}

e x p an d \frac{x - 1}{x ( x + 2 )}

e x p an d d x (5 t - 2)^{4}

e x p an d x - (x^{2} + 4 x + 3) \cdot e^{- x}