展开 (e^a+e^b)*e^a

解答

展开

(e^{a} + e^{b}) \cdot e^{a}

e^{2 a} + e^{b + a}

求解步骤

(e^{a} + e^{b}) e^{a}

= e^{a} (e^{a} + e^{b})

使用分配律:

a (b + c) = ab + a c

a = e^{a}, b = e^{a}, c = e^{b}

= e^{a} e^{a} + e^{a} e^{b}

= e^{a} e^{a} + e^{b} e^{a}

化简

e^{a} e^{a} + e^{b} e^{a} : e^{2 a} + e^{b + a}

= e^{2 a} + e^{b + a}

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