化简 2(x-3)^2(x-1)^2(x+4)

解答

化简

2 (x - 3)^{2} (x - 1)^{2} (x + 4)

2 (x - 3)^{2} (x - 1)^{2} (x + 4)

求解步骤

2 (x - 3)^{2} (x - 1)^{2} (x + 4)

使用指数法则:

a^{m} b^{m} = (ab)^{m},

假定

a \geq 0, b \geq 0

(x - 3)^{2} (x - 1)^{2} = ((x - 3) (x - 1))^{2}

= 2 ((x - 3) (x - 1))^{2} (x + 4)

((x - 3) (x - 1))^{2} = (x - 3)^{2} (x - 1)^{2}

= 2 (x - 3)^{2} (x - 1)^{2} (x + 4)

s im pl i f y 2.293 \times e^{- \frac{1.29}{0.061}}

s im pl i f y x^{- 6} ln (x)

j o in 3 \times x - 1

e x p an d x^{6} (1 - 2 x)^{- 5}

s im pl i f y - \frac{1}{2} e^{- x}