展开 A(3(e^xx^2+2xe^x)+(e^{x^4}*4x^3))

解答

展开

A (3 (e^{x} x^{2} + 2 x e^{x}) + (e^{x^{4}} \cdot 4 x^{3}))

3 A e^{x} x^{2} + 6 A e^{x} x + 4 A e^{x^{4}} x^{3}

求解步骤

A (3 (e^{x} x^{2} + 2 x e^{x}) + (e^{x^{4}} \cdot 4 x^{3}))

= A (3 (e^{x} x^{2} + 2 e^{x} x) + (4 e^{x^{4}} x^{3}))

使用分配律:

a (b + c) = ab + a c

a = A, b = 3 (e^{x} x^{2} + 2 x e^{x}), c = (e^{x^{4}} \cdot 4 x^{3})

= A \cdot 3 (e^{x} x^{2} + 2 x e^{x}) + A (e^{x^{4}} \cdot 4 x^{3})

= 3 A (e^{x} x^{2} + 2 e^{x} x) + A (4 e^{x^{4}} x^{3})

化简

3 A (e^{x} x^{2} + 2 e^{x} x) + A (4 e^{x^{4}} x^{3}) : 3 A e^{x} x^{2} + 6 A e^{x} x + 4 A e^{x^{4}} x^{3}

= 3 A e^{x} x^{2} + 6 A e^{x} x + 4 A e^{x^{4}} x^{3}

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

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