展开 (e^{-x}(x^2+2))/(x^2+3x+2)

解答

展开

\frac{e ^{- x} \cdot ( x ^{2} + 2 )}{x ^{2} + 3 \cdot x + 2}

\frac{e ^{- x} x ^{2} + 2 e ^{- x}}{x ^{2} + 3 x + 2}

求解步骤

\frac{e ^{- x} ( x ^{2} + 2 )}{x ^{2} + 3 x + 2}

乘开

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

= \frac{e ^{- x} x ^{2} + 2 e ^{- x}}{x ^{2} + 3 x + 2}

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

e x p an d \frac{4 ( r + 1 ) ^{3}}{3}

e x p an d (a x^{2} y^{4} e^{x^{3} y^{4}} + \frac{3}{x ^{2} + 1}) d x

e x p an d (4 - e^{x}) e^{x}

e x p an d \frac{( 2 x ^{2} + x ) ^{2}}{4}