因式分解 0.25x^2-0.81

解答

因式分解

0.25 x^{2} - 0.81

(0.5 x + 0.9) (0.5 x - 0.9)

求解步骤

0.25 x^{2} - 0.81

将

0.25 x^{2} - 0.81

改写为

(0.25 x)^{2} - (0.81)^{2}

= (0.25 x)^{2} - (0.81)^{2}

使用平方差公式:

x^{2} - y^{2} = (x + y) (x - y)

(0.25 x)^{2} - (0.81)^{2} = (0.25 x + 0.81) (0.25 x - 0.81)

= (0.25 x + 0.81) (0.25 x - 0.81)

0.25 = 0.5

= (0.5 x + 0.81) (0.25 x - 0.81)

0.81 = 0.9

= (0.5 x + 0.9) (0.25 x - 0.81)

0.25 = 0.5

= (0.5 x + 0.9) (0.5 x - 0.81)

0.81 = 0.9

= (0.5 x + 0.9) (0.5 x - 0.9)

f a c t or \frac{a + b}{2 a + 2 b}

f a c t or 3 x - (4 x^{2}) + 5

f a c t or 3 x^{10} + 6 x^{5}

f a c t or 2 a (m - n + 1) - (mn + 1)

f a c t or (2 a - 1)^{2} + 5 (2 a - 1) + 6