展开 x(x^5e^{5x}+3)

解答

展开

x (x^{5} e^{5 x} + 3)

e^{5 x} x^{6} + 3 x

求解步骤

x (x^{5} e^{5 x} + 3)

= x (e^{5 x} x^{5} + 3)

使用分配律:

a (b + c) = ab + a c

a = x, b = x^{5} e^{5 x}, c = 3

= x x^{5} e^{5 x} + x \cdot 3

= e^{5 x} x^{5} x + 3 x

e^{5 x} x^{5} x = e^{5 x} x^{6}

= e^{5 x} x^{6} + 3 x

e x p an d (2 x + x + 3)^{2}

e x p an d lo g_{7} (3 \frac{x ^{4} y}{49})

e x p an d \frac{x + 4}{( x + 1 ) ^{2}}

e x p an d (\frac{2 x}{y} - e^{x - y} + 1) (- \frac{2}{2})

e x p an d (x - \frac{π}{2}) tan (x)