展开 A(2x^2+1)ex^2

解答

展开

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

2 e A x^{4} + e A x^{2}

求解步骤

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

= e A x^{2} (2 x^{2} + 1)

使用分配律:

a (b + c) = ab + a c

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

= A e x^{2} \cdot 2 x^{2} + A e x^{2} \cdot 1

= 2 e A x^{2} x^{2} + 1 e A x^{2}

化简

2 e A x^{2} x^{2} + 1 e A x^{2} : 2 e A x^{4} + e A x^{2}

= 2 e A x^{4} + e A x^{2}

e x p an d 2 (1 + t^{2}) e^{5 t}

e x p an d x - (x - 1) \cdot (ln (x - 1))

e x p an d \frac{10 ( y - 1 )}{x}

e x p an d 6 y (e^{x} + e^{x} x)

e x p an d \frac{a x - b x}{( x + a ) ( x + b )}