展开 (x+10)e^2x

解答

展开

(x + 10) e^{2} x

e^{2} x^{2} + 10 e^{2} x

求解步骤

(x + 10) e^{2} x

= e^{2} x (x + 10)

使用分配律:

a (b + c) = ab + a c

a = e^{2} x, b = x, c = 10

= e^{2} xx + e^{2} x \cdot 10

= e^{2} xx + 10 e^{2} x

e^{2} xx = e^{2} x^{2}

= e^{2} x^{2} + 10 e^{2} x

e x p an d \frac{( e ^{x} + 3 e ^{- 3 x} )}{( e ^{x} - e ^{- 3 x} ) ^{3}}

e x p an d \frac{6 x ^{2} + 50}{( x ^{2} + 4 ) \cdot ( x + 3 )}

e x p an d det (2^{i}) (i + \frac{j}{2})

e x p an d (tan (x) + 3) (2 sin (x) - 1)

s im pl i f y (k + k^{2} - 4 p)^{2}