因数 1-sin^2(x)cos^{2x}(x)

解

因数

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

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

解答ステップ

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

sin^{2} (x) cos^{2 x} (x)

を書き換え

(sin (x) cos^{1 x} (x))^{2}

= 1 - (sin (x) cos^{1 \cdot x} (x))^{2}

共通項をくくり出す

- 1

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

因数

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

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

改良

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