(8)乗法公式 (解答) | 学習日 月 日( ) | |||||||||||||
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乗法公式を使って,次の式を展開しなさい。 | |||
1 | 3(x+6) = 3x+18 |
2 | (a−2)b = ab−2b |
3 | (x+4)(y+8) = xy+8x+4y+32 |
4 | (a−2)(b+9) = ab+9a−2b−18 |
5 | (x+3)(x+4) = x2+7x+12 |
6 | (x+5)(x−1) = x2+4x−5 |
7 | (x+1)2 = x2+2x+1 |
8 | (x−7)(x+7) = x2−49 |
9 | 4x(x−3) = 4x2−12x |
10 | (x−8)(x+7) = x2−x−56 |
11 | (a+5)(a+6) = a2+11a+30 |
12 | (y−4)(y−8) = y2−12y+32 |
13 | (x−)2 = x2−x+ |
14 | (m+0.5)(m−0.5) = m2−0.25 |
15 | −ab(a−b) = −a2b+ab2 |
16 | (x+2y)(x−3y) = x2−xy−6y2 |
17 | (3x−8y)(3x+8y) = (3x)2−(8y)2 = 9x2−64y2 |
18 | (2a+3)2 = (2a)2+2・(2a)・3+9 = 4a2+12a+9 |
19 | (2x+1)(2x−3) = (2x)2−2・(2x)−3 = 4x2−4x−3 |
20 | (3x+1)(2x−5) = 6x2−15x+2x−5 = 6x2−13x−5 |
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