因式分解-2q^4+2q^3+q^2-1

解答

因式分解

- 2 q^{4} + 2 q^{3} + q^{2} - 1

- (q - 1)^{2} (2 q^{2} + 2 q + 1)

求解步骤

- 2 q^{4} + 2 q^{3} + q^{2} - 1

因式分解

- 1 : - (2 q^{4} - 2 q^{3} - q^{2} + 1)

= - (2 q^{4} - 2 q^{3} - q^{2} + 1)

因式分解

2 q^{4} - 2 q^{3} - q^{2} + 1 : (q - 1) (q - 1) (2 q^{2} + 2 q + 1)

= - (q - 1) (q - 1) (2 q^{2} + 2 q + 1)

使用指数法则:

aa = a^{2}

(q - 1) (q - 1) = (q - 1)^{2}

= - (q - 1)^{2} (2 q^{2} + 2 q + 1)

a^{2} + 11 a + 30 = 0

s im pl i f y \frac{2}{\frac{5}{3}}

f a c t or x^{4} + 3 x^{3} + x^{2} + 4 x + 3

\frac{1}{9} x^{2} + \frac{1}{3} x - 2 = 0

x^{2} + 14 x + 13 = 0