展开 xe^{6xy}(ye^{6xy}+x)

解答

展开

x e^{6 x y} (y e^{6 x y} + x)

e^{12 x y} x y + e^{6 x y} x^{2}

求解步骤

x e^{6 x y} (y e^{6 x y} + x)

= e^{6 x y} x (e^{6 x y} y + x)

使用分配律:

a (b + c) = ab + a c

a = x e^{6 x y}, b = y e^{6 x y}, c = x

= x e^{6 x y} y e^{6 x y} + x e^{6 x y} x

= e^{6 x y} e^{6 x y} x y + e^{6 x y} xx

化简

e^{6 x y} e^{6 x y} x y + e^{6 x y} xx : e^{12 x y} x y + e^{6 x y} x^{2}

= e^{12 x y} x y + e^{6 x y} x^{2}

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