展开 (1+e^{2x})(1-e^{2x})

解答

展开

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

1 - e^{4 x}

求解步骤

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

使用平方差公式:

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

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

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

化简

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

= 1 - e^{4 x}

e x p an d e^{3 t} (y^{'} (t) + 3 y)

e x p an d 14 (6 x - 5 y = 1)

e x p an d - x yz (x + y + z)^{3}

e x p an d f (x - 3) +!

e x p an d (e + f)^{2} - g^{2}