展開する (5-t)(\H((t-3)-\H(t-7)))

解

展開する

(5 - t) (H ((t - 3) - H (t - 7)))

5 H (t - 3 - H (t - 7)) - t H (t - 3 - H (t - 7))

解答ステップ

(5 - t) (H ((t - 3) - H (t - 7)))

= (H ((t - 3) - H (t - 7))) (5 - t)

分配法則を適用する:

a (b - c) = ab - a c

a = (H ((t - 3) - H (t - 7))), b = 5, c = t

= (H ((t - 3) - H (t - 7))) \cdot 5 - (H ((t - 3) - H (t - 7))) t

= 5 (H ((t - 3) - H (t - 7))) - t (H ((t - 3) - H (t - 7)))

括弧を削除する:

(a) = a

= 5 H (t - 3 - H (t - 7)) - t H (t - 3 - H (t - 7))