因式分解 3bx^2-9x^3-b+3x

解答

因式分解

3 b x^{2} - 9 x^{3} - b + 3 x

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

求解步骤

3 b x^{2} - 9 x^{3} - b + 3 x

= (3 x^{2} b - 9 x^{3}) + (3 x - b)

从

3 x^{2} b - 9 x^{3}

分解出因式

3 x^{2}

3 x^{2} (b - 3 x)

= 3 x^{2} (b - 3 x) + (3 x - b)

3 x - b = - (b - 3 x)

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

因式分解出通项

(b - 3 x) : (b - 3 x) (3 x^{2} - 1)

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

73 x - 37 = 73 x - 37

3 x^{2} + 15 x + 18 = 0

s im pl i f y 8 \cdot \frac{0.0289}{π ^{2} \cdot 9.81}

s im pl i f y - \frac{2}{2} \cdot \frac{1}{2}

- 3 x^{2} + 3 x - 2 = 0