展开 2x(e^{2x}+cos(x))+(e^{2x}*2-sin(x))x^2

解答

展开

2 x (e^{2 x} + cos (x)) + (e^{2 x} \cdot 2 - sin (x)) x^{2}

2 e^{2 x} x + 2 x cos (x) + 2 e^{2 x} x^{2} - x^{2} sin (x)

求解步骤

2 x (e^{2 x} + cos (x)) + (e^{2 x} \cdot 2 - sin (x)) x^{2}

= 2 x (e^{2 x} + cos (x)) + x^{2} (2 e^{2 x} - sin (x))

乘开

2 x (e^{2 x} + cos (x)) : 2 e^{2 x} x + 2 x cos (x)

= 2 e^{2 x} x + 2 x cos (x) + (e^{2 x} \cdot 2 - sin (x)) x^{2}

乘开

x^{2} (e^{2 x} \cdot 2 - sin (x)) : 2 e^{2 x} x^{2} - x^{2} sin (x)

= 2 e^{2 x} x + 2 x cos (x) + 2 e^{2 x} x^{2} - x^{2} sin (x)

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

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

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

e x p an d (- 12 mn + 5) l e f t (- 3 mn - 2)

s im pl i f y (a - 3 x - 2) x (a + 3 x - 2)