因式分解 4x^2-8x+3(1-x)

解答

因式分解

4 x^{2} - 8 x + 3 (1 - x)

4 (x - \frac{11 + 73}{8}) (x - \frac{11 - 73}{8})

求解步骤

4 x^{2} - 8 x + 3 (1 - x)

乘开

3 (1 - x) : 3 - 3 x

= 4 x^{2} - 8 x + 3 - 3 x

化简

4 x^{2} - 8 x + 3 - 3 x : 4 x^{2} - 11 x + 3

= 4 x^{2} - 11 x + 3

改写为

= 4 (x^{2} - \frac{11 x}{4} + \frac{3}{4})

因式分解

x^{2} - \frac{11 x}{4} + \frac{3}{4} : (x - \frac{11 + 73}{8}) (x - \frac{11 - 73}{8})

4 (x - \frac{11 + 73}{8}) (x - \frac{11 - 73}{8})

f a c t or (a - 3)^{3} + 8

f a c t or sin (2 \cdot (arccos (2 x)))

f a c t or \frac{- 10 x ^{2} + 46 x}{5}

f a c t or - k^{2} sin (k x) + 7 (cos (k x) k)

f a c t or 216 - (r + 2 n)^{3}