化简 (csc(x)+2)(-2csc(x)cot(x))

解答

化简

(csc (x) + 2) (- 2 csc (x) cot (x))

- 2 cot (x) csc (x) (csc (x) + 2)

求解步骤

(csc (x) + 2) (- 2 csc (x) cot (x))

使用法则:

a (- b) = - ab

(csc (x) + 2) (- 2 csc (x) cot (x)) = - (csc (x) + 2) \cdot 2 csc (x) cot (x)

= - (csc (x) + 2) \cdot 2 csc (x) cot (x)

= - 2 cot (x) csc (x) (csc (x) + 2)

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

e x p an d \frac{4 x - 1}{s ^{2} ( s + 1 ) ^{3}}

s im pl i f y (x + 9) (x - \frac{4}{3})

s im pl i f y 2 (\frac{y - 3}{3} + 1)

e x p an d \frac{( 1 - e ^{- 6 s} + 4 s ^{2} )}{2 s ^{2} ( s ^{2} + s )}