因数 1-sin^4(x)

解

因数

1 - sin^{4} (x)

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

解答ステップ

1 - sin^{4} (x)

1 = 1^{2}

sin^{4} (x) = (sin^{2} (x))^{2}

= 1^{2} - (sin^{2} (x))^{2}

2乗の差の公式を適用する:

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

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

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

因数

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

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