展开 (16-x^2)e^{x^2}

解答

展开

(16 - x^{2}) e^{x^{2}}

16 e^{x^{2}} - e^{x^{2}} x^{2}

求解步骤

(16 - x^{2}) e^{x^{2}}

= e^{x^{2}} (16 - x^{2})

使用分配律:

a (b - c) = ab - a c

a = e^{x^{2}}, b = 16, c = x^{2}

= e^{x^{2}} \cdot 16 - e^{x^{2}} x^{2}

= 16 e^{x^{2}} - e^{x^{2}} x^{2}

s im pl i f y x^{3} (a_{0} + \frac{7}{4}) - 4 a_{0} x - 1

e x p an d \frac{b}{( s - 5 ) ( s + 5 )}

s im pl i f y (\frac{2 t}{5} - \frac{w ^{2}}{4}) (\frac{2 t}{5} + \frac{w ^{2}}{4})

\frac{d}{d θ} ((x (θ)) (3 (1 - cos (θ))))

e x p an d - \frac{- 5 x + 4}{2 ln ( 5 ) x ( - x + 1 )}