因式分解 4a^2b+18ab^2-36b^3

解答

因式分解

4 a^{2} b + 18 a b^{2} - 36 b^{3}

2 b (2 a - 3 b) (a + 6 b)

求解步骤

4 a^{2} b + 18 a b^{2} - 36 b^{3}

因式分解出通项

2 b : 2 b (2 a^{2} + 9 ab - 18 b^{2})

= 2 b (2 a^{2} + 9 ab - 18 b^{2})

因式分解

2 a^{2} + 9 ab - 18 b^{2} : (2 a - 3 b) (a + 6 b)

= 2 b (2 a - 3 b) (a + 6 b)

\frac{5}{9} x - \frac{5}{3} = \frac{3}{4} x - \frac{1}{2}

4 (x + 3) = x + 42

3 (11 x + 5) = 279

∣ 6 x + 1 ∣ = 7

s im pl i f y 42 \cdot \frac{14}{15}