因式分解 [(a-b)^2-c^2]

解答

因式分解

[(a - b)^{2} - c^{2}]

(a - b + c) (a - b - c)

求解步骤

(a - b)^{2} - c^{2}

使用平方差公式:

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

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

= ((a - b) + c) ((a - b) - c)

使用法则:

(a) = a

(a - b) = a - b

= (a - b + c) (a - b - c)

x < \frac{1}{3} or x > - \frac{1}{3}

6^{2} + 7^{2} = c^{2}

- 3 (8 k + 5) = 3 (9 - k)

10 - 3 (a - 1) = 1 + a

s im pl i f y 18 + 2