因数 ac^2-a+4bc^2-4b

解

因数

a c^{2} - a + 4 b c^{2} - 4 b

(1 + c) (- 1 + c) (a + 4 b)

解答ステップ

a c^{2} - a + 4 b c^{2} - 4 b

共通項をくくり出す

a

= a (c^{2} - 1) + 4 b c^{2} - 4 b

因数

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

= 4 c^{2} b - 4 b + a (c + 1) (c - 1)

書き換え

= a (1 + c) (- 1 + c) + 4 b c^{2} - 1 \cdot 4 b

共通項をくくり出す

4 b

= a (1 + c) (- 1 + c) + 4 b (c^{2} - 1)

因数

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

= a (c + 1) (c - 1) + 4 b (c + 1) (c - 1)

共通項をくくり出す

(1 + c) (- 1 + c)

= (1 + c) (- 1 + c) (a + 4 b)