因式分解 100a^2b^3c-150ab^2c^2+50ab^3c^3-200abc^2

解答

因式分解

100 a^{2} b^{3} c - 150 a b^{2} c^{2} + 50 a b^{3} c^{3} - 200 ab c^{2}

50 ab c (2 a b^{2} - 3 b c + b^{2} c^{2} - 4 c)

求解步骤

100 a^{2} b^{3} c - 150 a b^{2} c^{2} + 50 a b^{3} c^{3} - 200 ab c^{2}

因式分解出通项

50 ab c : 50 ab c (2 a b^{2} - 3 b c + b^{2} c^{2} - 4 c)

= 50 ab c (2 a b^{2} - 3 b c + b^{2} c^{2} - 4 c)

x (6 - x) (x - 3) \leq 0

- 5 x = 25

l o n g m u lt 2.5 \cdot 2

f a c t or 12 a^{3} + 2 a^{2} - 30 a - 5

f a c t or s^{2} - 4