因式分解 (x+1)-(3x^2)

解答

因式分解

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

- 3 (x - \frac{1 + 13}{6}) (x - \frac{1 - 13}{6})

求解步骤

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

去除括号:

(a) = a

= x + 1 - 3 x^{2}

因式分解出通项

- 1

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

分解

3 x^{2} - x - 1 : 3 (x - \frac{1 + 13}{6}) (x - \frac{1 - 13}{6})

= - 3 (x - \frac{1 + 13}{6}) (x - \frac{1 - 13}{6})

f a c t or 4 x^{2} - 12 + 9

f a c t or 20 d^{2} - 45 e^{2}

f a c t or (p k)^{2} + 5 p k - 14

f a c t or x^{3 + 1}

s im pl i f y a e^{ik x} + b e^{- ik x}