展开 e^x(x^2-2(x-1))

解答

展开

e^{x} (x^{2} - 2 (x - 1))

e^{x} x^{2} - 2 e^{x} x + 2 e^{x}

求解步骤

e^{x} (x^{2} - 2 (x - 1))

使用分配律:

a (b - c) = ab - a c

a = e^{x}, b = x^{2}, c = 2 (x - 1)

= e^{x} x^{2} - e^{x} \cdot 2 (x - 1)

= e^{x} x^{2} - 2 e^{x} (x - 1)

乘开

- 2 e^{x} (x - 1) : - 2 e^{x} x + 2 e^{x}

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

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

e x p an d lo g_{5} (125)

e x p an d \frac{10}{( s + 1 ) ^{2} ( s + 3 )}

e x p an d - 5 (4 x + y = 1)

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