展开 2xe^{7x+2}+e^{7x+2}*7(x^2+7)

解答

展开

2 x e^{7 x + 2} + e^{7 x + 2} \cdot 7 (x^{2} + 7)

2 x e^{7 x + 2} + 7 e^{7 x + 2} x^{2} + 49 e^{7 x + 2}

求解步骤

2 x e^{7 x + 2} + e^{7 x + 2} \cdot 7 (x^{2} + 7)

= 2 e^{7 x + 2} x + 7 e^{7 x + 2} (x^{2} + 7)

乘开

e^{7 x + 2} \cdot 7 (x^{2} + 7) : 7 e^{7 x + 2} x^{2} + 49 e^{7 x + 2}

= 2 x e^{7 x + 2} + 7 e^{7 x + 2} x^{2} + 49 e^{7 x + 2}

e x p an d \frac{4}{9} (x - 1) (x - 0.9512)

e x p an d lo g_{9} (x) (x + 2)

s im pl i f y (y + 5) (y - 5)

e x p an d (2 t + 1) d t

e x p an d y (y + x + 1) d x + (x + 2 y) d y