展开 (x^2+x+1)e^x

解答

展开

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

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

求解步骤

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

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

打开括号

= e^{x} x^{2} + e^{x} x + e^{x} \cdot 1

= e^{x} x^{2} + e^{x} x + 1 \cdot e^{x}

乘以:

1 \cdot e^{x} = e^{x}

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

e x p an d \frac{6 + 26 x - x ^{2}}{( 2 x - 1 ) ( x + 2 ) ^{2}}

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

e x p an d π \cdot sin (b) \cdot k \cdot (cos^{2} (a) + 2 \cdot cos (a) + k^{2})

e x p an d so l v e (x^{3} - 9 x - 7 = 0)

e x p an d \frac{( 25 - 5 x ) ( x + 1 )}{2 x}