Задание 5
3a(a - b) + b(2a - b) = 3a² - 3ab + 2ab - b² = 3a² + ab - b²
Задание 6
3c(c - 2) - (c - 3)² = 3c² - 6c - (c² - 6c + 9) = 3c² - 6c - c² + 6c - 9 = 2c² - 9
Задание 7
9 + 12x + 4x² = (3 + 2x)²
Задание 8
(3x + 1)(4x - 2) - 5(2x - 1)² + 14 = 12x² - 6x + 4x - 2 - 5(4x² - 4x + 1) + 14 = 12x² - 6x + 4x - 2 - 20x² + 20x -5 + 14 = -8x² + 18x + 7
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Answers & Comments
Задание 5
3a(a - b) + b(2a - b) = 3a² - 3ab + 2ab - b² = 3a² + ab - b²
Задание 6
3c(c - 2) - (c - 3)² = 3c² - 6c - (c² - 6c + 9) = 3c² - 6c - c² + 6c - 9 = 2c² - 9
Задание 7
9 + 12x + 4x² = (3 + 2x)²
Задание 8
(3x + 1)(4x - 2) - 5(2x - 1)² + 14 = 12x² - 6x + 4x - 2 - 5(4x² - 4x + 1) + 14 = 12x² - 6x + 4x - 2 - 20x² + 20x -5 + 14 = -8x² + 18x + 7