化简 2x^2(5x-1)(x+5)^2

解答

化简

2 x^{2} (5 x - 1) (x + 5)^{2}

2 x^{2} (x + 5)^{2} (5 x - 1)

求解步骤

2 x^{2} (5 x - 1) (x + 5)^{2}

使用指数法则:

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

假定

a \geq 0, b \geq 0

x^{2} (x + 5)^{2} = (x (x + 5))^{2}

= 2 (x (x + 5))^{2} (5 x - 1)

(x (x + 5))^{2} = x^{2} (x + 5)^{2}

= 2 x^{2} (x + 5)^{2} (5 x - 1)

s im pl i f y (4 x^{2} y^{3}) (2 x y^{3})

s im pl i f y e^{- (- 1 + 0.5)}

s im pl i f y 8 \cdot (0.77)^{2} (1 - 0.77)^{- 2}

s im pl i f y - e^{- 100}

s im pl i f y (4 x^{3} y^{5}) (5 x^{5} y^{4})