展开 ((9+9cos(x))(x+200)-10y)/(5(x+200))

解答

展开

\frac{( 9 + 9 cos ( x ) ) ( x + 200 ) - 10 y}{5 ( x + 200 )}

\frac{9 x + 1800 + 9 x cos ( x ) + 1800 cos ( x ) - 10 y}{5 x + 1000}

求解步骤

\frac{( 9 + 9 cos ( x ) ) ( x + 200 ) - 10 y}{5 ( x + 200 )}

乘开

5 (x + 200) : 5 x + 1000

= \frac{( 9 cos ( x ) + 9 ) ( x + 200 ) - 10 y}{5 x + 1000}

乘开

(9 + 9 cos (x)) (x + 200) - 10 y : 9 x + 1800 + 9 x cos (x) + 1800 cos (x) - 10 y

= \frac{9 x + 1800 + 9 x cos ( x ) + 1800 cos ( x ) - 10 y}{5 x + 1000}

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

s im pl i f y (3 x^{2} - \frac{5}{3 x ^{3}}) (3 x^{2} + \frac{5}{3 x ^{3}})

e x p an d 580 (e^{- \frac{x}{90}} - \frac{e ^{- \frac{x}{90}} x}{90})

e x p an d a (- 1, - 3)

e x p an d \frac{10}{s ( s + 3 )}