展开 10e^{6x}(3x-2)

解答

展开

10 e^{6 x} (3 x - 2)

30 e^{6 x} x - 20 e^{6 x}

求解步骤

10 e^{6 x} (3 x - 2)

使用分配律:

a (b - c) = ab - a c

a = 10 e^{6 x}, b = 3 x, c = 2

= 10 e^{6 x} \cdot 3 x - 10 e^{6 x} \cdot 2

= 10 \cdot 3 e^{6 x} x - 10 \cdot 2 e^{6 x}

化简

10 \cdot 3 e^{6 x} x - 10 \cdot 2 e^{6 x} : 30 e^{6 x} x - 20 e^{6 x}

= 30 e^{6 x} x - 20 e^{6 x}

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

e x p an d (y + x + 2) (d x + d y + d z)

e x p an d [2 + (6) (3), 2] + 3 (2 - 4)

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

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