展開する cos^2(x)(1-x)(7-x^3)

解

展開する

cos^{2} (x) (1 - x) (7 - x^{3})

7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}

解答ステップ

cos^{2} (x) (1 - x) (7 - x^{3})

拡張

cos^{2} (x) (1 - x) (7 - x^{3}) : cos^{2} (x) (7 - x^{3} - 7 x + x^{4})

= cos^{2} (x) (7 - x^{3} - 7 x + x^{4})

括弧を分配する

= cos^{2} (x) \cdot 7 + cos^{2} (x) (- x^{3}) + cos^{2} (x) (- 7 x) + cos^{2} (x) x^{4}

簡素化

cos^{2} (x) \cdot 7 + cos^{2} (x) (- x^{3}) + cos^{2} (x) (- 7 x) + cos^{2} (x) x^{4} : 7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}

= 7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}