因数 tan^2(2x)-sin^{22}(x)

解

因数

tan^{2} (2 x) - sin^{22} (x)

(tan (2 x) + sin^{11} (x)) (tan (2 x) - sin^{11} (x))

解答ステップ

tan^{2} (2 x) - sin^{22} (x)

簡素化

sin^{22} (x) : (sin^{11} (x))^{2}

= tan^{2} (2 x) - (sin^{11} (x))^{2}

2乗の差の公式を適用する:

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

tan^{2} (2 x) - (sin^{11} (x))^{2} = (tan (2 x) + sin^{11} (x)) (tan (2 x) - sin^{11} (x))

= (tan (2 x) + sin^{11} (x)) (tan (2 x) - sin^{11} (x))