展开 (e^y-1)^2

解答

展开

(e^{y} - 1)^{2}

e^{2 y} - 2 e^{y} + 1

求解步骤

(e^{y} - 1)^{2}

使用完全平方公式:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = e^{y}, b = 1

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

化简

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

= e^{2 y} - 2 e^{y} + 1

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