展开 e^{t^2}(4t^3-7t^2+9t)

解答

展开

e^{t^{2}} (4 t^{3} - 7 t^{2} + 9 t)

4 e^{t^{2}} t^{3} - 7 e^{t^{2}} t^{2} + 9 e^{t^{2}} t

求解步骤

e^{t^{2}} (4 t^{3} - 7 t^{2} + 9 t)

打开括号

= e^{t^{2}} \cdot 4 t^{3} + e^{t^{2}} (- 7 t^{2}) + e^{t^{2}} \cdot 9 t

使用加减运算法则

+ (- a) = - a

= 4 e^{t^{2}} t^{3} - 7 e^{t^{2}} t^{2} + 9 e^{t^{2}} t

e x p an d \frac{( y + 1 ) ( y + 8 )}{( y + 2 ) ( y - 6 )}

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

e x p an d a (4 x - 6 y = - 3)

e x p an d \frac{x}{( 0.08 - x ) ( 0.06 - x )}

e x p an d \frac{x}{( a - x ) ^{2}}