因数 4ax^3-3b+4a-3bx^3

解

因数

4 a x^{3} - 3 b + 4 a - 3 b x^{3}

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

解答ステップ

4 a x^{3} - 3 b + 4 a - 3 b x^{3}

書き換え

= 4 a x^{3} - 3 b + 1 \cdot 4 a - 3 b x^{3}

共通項をくくり出す

4 a

= 4 a (x^{3} + 1) - 3 b - 3 b x^{3}

因数

x^{3} + 1 : (x + 1) (x^{2} - x + 1)

= - 3 b x^{3} + 4 a (x + 1) (x^{2} - x + 1) - 3 b

書き換え

= 4 a (1 + x) (x^{2} + 1 - x) - 1 \cdot 3 b - 3 b x^{3}

共通項をくくり出す

3 b

= 4 a (1 + x) (x^{2} + 1 - x) - 3 b (1 + x^{3})

因数

x^{3} + 1 : (x + 1) (x^{2} - x + 1)

= 4 a (x + 1) (x^{2} - x + 1) - 3 b (x + 1) (x^{2} - x + 1)

共通項をくくり出す

(x^{2} + 1 - x) (1 + x)

= (x^{2} + 1 - x) (1 + x) (4 a - 3 b)