因数-(x+3)^2+(x-1)^2

解

因数

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

- 8 (x + 1)

解答ステップ

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

2乗の差の公式を適用する:

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

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

= ((x - 1) + (x + 3)) ((x - 1) - (x + 3))

改良

= - 4 (2 x + 2)

因数

- 4 (2 x + 2) : - 8 (x + 1)

= - 4 (2 x + 2)

因数

2 x + 2 : 2 (x + 1)

= - 4 \cdot 2 (x + 1)

数を乗じる:

4 \cdot 2 = 8

= - 8 (x + 1)