展开 a(e^{bx^2}+2be^{bx^2}x^2)

解答

展开

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

a e^{b x^{2}} + 2 ab e^{b x^{2}} x^{2}

求解步骤

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

使用分配律:

a (b + c) = ab + a c

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

= a e^{b x^{2}} + a \cdot 2 b e^{b x^{2}} x^{2}

= a e^{b x^{2}} + 2 ab e^{b x^{2}} x^{2}

e x p an d 2 (3 s + 1) (s + \frac{1}{14})

e x p an d det (- x (x + 2) (x + 3))

e x p an d (1 + ln (x) + \frac{y}{x}) d x

e x p an d - \frac{e ^{- \frac{πjn}{2}} ( 2 πjn + 1 )}{π ^{2} j ^{2} n ^{2}}

e x p an d 40000 (x - 2) e^{- 0.1 x - 1}