展开 (e^{2x}+1)(e^{2x}-1)

解答

展开

(e^{2 x} + 1) (e^{2 x} - 1)

e^{4 x} - 1

求解步骤

(e^{2 x} + 1) (e^{2 x} - 1)

使用平方差公式:

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

a = e^{2 x}, b = 1

= (e^{2 x})^{2} - 1^{2}

化简

(e^{2 x})^{2} - 1^{2} : e^{4 x} - 1

= e^{4 x} - 1

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