展开 (e^x+e^xx)^2

解答

展开

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

e^{2 x} + 2 e^{2 x} x + e^{2 x} x^{2}

求解步骤

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

使用完全平方公式:

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

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

= (e^{x})^{2} + 2 e^{x} e^{x} x + (e^{x} x)^{2}

化简

(e^{x})^{2} + 2 e^{x} e^{x} x + (e^{x} x)^{2} : e^{2 x} + 2 e^{2 x} x + e^{2 x} x^{2}

= e^{2 x} + 2 e^{2 x} x + e^{2 x} x^{2}

e x p an d A (8, - 4)

\frac{d}{d x} ((C) (2 x^{2} + \frac{288}{x}))

e x p an d \frac{p ^{3} - 7 p ^{2} + 10 p + 30}{( p - 3 ) ( p + 1 )}

e x p an d lo g_{10} (4 x)

e x p an d (1, 2, 3 + 4, - 3, - 1) x (- 5, - 3, 5 - (- 2), 1, 6)