Вопрос:
1. Раскройте скобки.
1) (m + p)²
2) (u - v)²
3) (a + 4)²
4) (3 - c)²
5) (x + 9)²
6) (2x - 1)²
7) (p + 2t)²
8) (12 – 6k)²
9) (5q + 14)²
10) (7k - 20)²
11) (2a + 3x)²
12) (10b - 9y)²
13) (17c + 3e)²
14) (6d - 19k)²
15) (15s + 2t)²
16) (m² - n)²
17) (5a² + 6b)²
18) (7b³)²
19) (6y + x³p)²
20) (3n² + 5m³)²
Ответ:
1. Раскройте скобки:
- \[ (m + p)^2 = m^2 + 2mp + p^2 \]
- \[ (u - v)^2 = u^2 - 2uv + v^2 \]
- \[ (a + 4)^2 = a^2 + 8a + 16 \]
- \[ (3 - c)^2 = 9 - 6c + c^2 \]
- \[ (x + 9)^2 = x^2 + 18x + 81 \]
- \[ (2x - 1)^2 = 4x^2 - 4x + 1 \]
- \[ (p + 2t)^2 = p^2 + 4pt + 4t^2 \]
- \[ (12 - 6k)^2 = 144 - 144k + 36k^2 \]
- \[ (5q + 14)^2 = 25q^2 + 140q + 196 \]
- \[ (7k - 20)^2 = 49k^2 - 280k + 400 \]
- \[ (2a + 3x)^2 = 4a^2 + 12ax + 9x^2 \]
- \[ (10b - 9y)^2 = 100b^2 - 180by + 81y^2 \]
- \[ (17c + 3e)^2 = 289c^2 + 102ce + 9e^2 \]
- \[ (6d - 19k)^2 = 36d^2 - 228dk + 361k^2 \]
- \[ (15s + 2t)^2 = 225s^2 + 60st + 4t^2 \]
- \[ (m^2 - n)^2 = m^4 - 2m^2n + n^2 \]
- \[ (5a^2 + 6b)^2 = 25a^4 + 60a^2b + 36b^2 \]
- \[ (7b^3)^2 = 49b^6 \]
- \[ (6y + x^3p)^2 = 36y^2 + 12x^3py + x^6p^2 \]
- \[ (3n^2 + 5m^3)^2 = 9n^4 + 30n^2m^3 + 25m^6 \]
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