展开 x^{4/5}(x-4)^2

解答

展开

x^{\frac{4}{5}} (x - 4)^{2}

x^{\frac{14}{5}} - 8 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 16

求解步骤

x^{\frac{4}{5}} (x - 4)^{2}

展开

(x - 4)^{2} : x^{2} - 8 x + 16

= x^{\frac{4}{5}} (x^{2} - 8 x + 16)

使用分配律:

m (a + b + c) = ma + mb + m c

x^{\frac{4}{5}} (x^{2} - 8 x + 16) = x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 8 x) + x^{\frac{4}{5}} \cdot 16

= x^{\frac{4}{5}} x^{2} + x^{\frac{4}{5}} (- 8 x) + x^{\frac{4}{5}} \cdot 16

x^{\frac{4}{5}} x^{2} = x^{\frac{14}{5}}

x^{\frac{4}{5}} (- 8 x) = - 8 x^{\frac{9}{5}}

= x^{\frac{14}{5}} - 8 x^{\frac{9}{5}} + x^{\frac{4}{5}} \cdot 16

e x p an d \frac{2 s}{( s ^{2} + 25 ) ( s - 1 )}

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

e x p an d (- e^{t} sin (t) + e^{t} cos (t))^{2}

s im pl i f y x (x - x)

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