因式分解 a^2-b^2-2a+1

解答

因式分解

a^{2} - b^{2} - 2 a + 1

(a - 1 + b) (a - 1 - b)

求解步骤

a^{2} - b^{2} - 2 a + 1

因式分解

a^{2} - 2 a + 1 : (a - 1)^{2}

= (a - 1)^{2} - b^{2}

使用平方差公式:

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

(a - 1)^{2} - b^{2} = ((a - 1) + b) ((a - 1) - b)

= ((a - 1) + b) ((a - 1) - b)

使用法则:

(a) = a

(a - 1) = a - 1

= (a - 1 + b) (a - 1 - b)

2 - \frac{x}{5} > 3

s im pl i f y \frac{( 4 + 4 i )}{4 - 4 i}

(3 x - 4) (4 x - 3) = (6 x - 4) (2 x - 5)

(\frac{8}{13} - \frac{5}{7}) + \frac{2}{7}

s im pl i f y \frac{125}{5}