展开 (t^2)(1+e^t)

解答

展开

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

t^{2} + e^{t} t^{2}

求解步骤

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

使用分配律:

a (b + c) = ab + a c

a = (t^{2}), b = 1, c = e^{t}

= (t^{2}) \cdot 1 + (t^{2}) e^{t}

= 1 \cdot (t^{2}) + e^{t} (t^{2})

化简

1 \cdot (t^{2}) + e^{t} (t^{2}) : t^{2} + e^{t} t^{2}

= t^{2} + e^{t} t^{2}

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