展開する ((2(t^2+1)^2),-t(t^2+1))*(1,2t)

解

展開する

((2 (t^{2} + 1)^{2}), - t (t^{2} + 1)) \cdot (1, 2 t)

(1 \cdot 2, t) (2 (t^{2} + 1)^{2}), - t^{2} t (1 \cdot 2, t) - 1 \cdot t (1 \cdot 2, t)

解答ステップ

((2 (t^{2} + 1)^{2}), - t (t^{2} + 1)) (1, 2 t)

= (, (2 (t^{2} + 1)^{2}) - t (t^{2} + 1)) (1 \cdot 2, t)

拡張

(1, 2 t) ((2 (t^{2} + 1)^{2}), - t (t^{2} + 1)) : (1 \cdot 2, t) (2 (t^{2} + 1)^{2}), - t (1 \cdot 2, t) (t^{2} + 1)

= (1 \cdot 2, t) (2 (t^{2} + 1)^{2}), - t (1 \cdot 2, t) (t^{2} + 1)

拡張

- t (1 \cdot 2, t) (t^{2} + 1) : - t^{2} t (1 \cdot 2, t) - 1 \cdot t (1 \cdot 2, t)

= (1 \cdot 2, t) (2 (t^{2} + 1)^{2}), - t^{2} t (1 \cdot 2, t) - 1 \cdot t (1 \cdot 2, t)