Question

пж решите задание пж​

Answer 1

Ответ:

1) (x - 3y)² - (3x - y)² = 26

2) (c² - 3)² - (c² - 4)(c² + 2) + 4(5 - c)² = 119

3) (m + 5)² - (m - 4)(m + 4) = 6

4) (a³ - 2)(a³ + 2) - (a³ + 3)² = 35

Пошаговое объяснение:

1) (x - 3y)² - (3x - y)² = x² - 6xy + 9y² - (9x² - 6xy + y²) = 8y² - 8x² = 8(y² - x²) = $8((3\frac{1}{2})^2-(-3)^2)=8((\frac{7}{2})^2-9)=8(\frac{49}{4}-9)=$ 2 × 49 - 8 × 9 = 98 - 72 = 26

2) (c² - 3)² - (c² - 4)(c² + 2) + 4(5 - c)² = c⁴ - 6c² + 9 - (c⁴ - 2c² - 8) + 4(25 - 10c + c²) = c⁴ - 6c² + 9 - c⁴ + 2c² + 8 + 100 - 40c + 4c² = 117 - 40c = 117 - 40 × (-0,05) = 117 + 2 = 119

3) (m + 5)² - (m - 4)(m + 4) = m² + 10m + 25 - (m² - 16) = m² + 10m + 25 - m² + 16 = 10m + 41 = 10 × (-3,5) + 41 = -35 + 41 = 6

4) (a³ - 2)(a³ + 2) - (a³ + 3)² = a⁶ - 4 - (a⁶ + 6a³ + 9) = -13 - 6a³ = -13 - 6 × (-2)³ = -13 - 6 × (-8) = 48 - 13 = 35