因式分解 250x^4+128x

解答

因式分解

250 x^{4} + 128 x

2 x (5 x + 4) (25 x^{2} - 20 x + 16)

求解步骤

250 x^{4} + 128 x

因式分解出通项

2 x : 2 x (125 x^{3} + 64)

= 2 x (125 x^{3} + 64)

因式分解

125 x^{3} + 64 : (5 x + 4) (5^{2} x^{2} - 4 \cdot 5 x + 4^{2})

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

化简

2 x (5 x + 4) (5^{2} x^{2} - 4 \cdot 5 x + 4^{2}) : 2 x (5 x + 4) (25 x^{2} - 20 x + 16)

= 2 x (5 x + 4) (25 x^{2} - 20 x + 16)

- 3 + x < 37

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

s im pl i f y 9^{0}

6 x^{2} - 16 = 5 x^{2} - 6 x

f a c t or ma - mb + na - nb + p a - p b