展開する (7a+b)(a+3,b-2,4,a+6b,0)+(7ab)(a+43,ab-2b,4ab,a+6,0)

解

展開する

(7 a + b) (a + 3, b - 2, 4, a + 6 b, 0) + (7 ab) (a + 43, ab - 2 b, 4 ab, a + 6, 0)

7 aa + 7 \cdot 3 a, b - 7 \cdot 2 a, 4, a + 7 \cdot 6 ab, 0 + ab + 3 b, b - 2 b, 4, a + 6 bb, 0 + a (7 ab) + 43 (7 ab), ab - 2 b (7 ab), 4 ab, a + 6 (7 ab), 0

解答ステップ

(7 a + b) (a + 3, b - 2, 4, a + 6 b, 0) + (7 ab) (a + 43, ab - 2 b, 4 ab, a + 6, 0)

= (7 a + b) (a + 3, b - 2 \cdot 4,, a + 6 \cdot 0, b) + (7 ab) (a + 43, ab - 2 \cdot 4,, aabb + 6 \cdot 0,)

拡張

(7 a + b) (a + 3, b - 2, 4, a + 6 b, 0) : 7 aa + 7 \cdot 3 a, b - 7 \cdot 2 a, 4, a + 7 \cdot 6 ab, 0 + ab + 3 b, b - 2 b, 4, a + 6 bb, 0

= 7 aa + 7 \cdot 3 a, b - 7 \cdot 2 a, 4, a + 7 \cdot 6 ab, 0 + ab + 3 b, b - 2 b, 4, a + 6 bb, 0 + (7 ab) (a + 43, ab - 2 b, 4 ab, a + 6, 0)

拡張

(7 ab) (a + 43, ab - 2 b, 4 ab, a + 6, 0) : a (7 ab) + 43 (7 ab), ab - 2 b (7 ab), 4 ab, a + 6 (7 ab), 0

= 7 aa + 7 \cdot 3 a, b - 7 \cdot 2 a, 4, a + 7 \cdot 6 ab, 0 + ab + 3 b, b - 2 b, 4, a + 6 bb, 0 + a (7 ab) + 43 (7 ab), ab - 2 b (7 ab), 4 ab, a + 6 (7 ab), 0