Задание 1055
а) 5х² - 5 = 5(х² - 1) = 5(х - 1)(х + 1)
б) 18b² - 2c² = 2(9b² - c²) = 2(3b - c)(3b + c)
в) 3a² - 12 = 3(a² - 4) = 3(a - 2)(a + 2)
г) 10x² - 10y² = 10(x² - y²) = 10(x - y)(x + y)
Задание 1056
а) х³ - 81x = x(х² - 81) = x(х - 9)(х + 9)
б) 3y³ - 300y = 3y(y² - 100) = 3y(y - 10)(y + 10)
в) 64a - a³ = a(64 - a²) = a(8 - a)(8 + a)
г) 2b³ - 288b = 2(b² - 144) = 2(b - 12)(b + 12)
Задание 1055
а) 5х² - 5 = 5(х² - 1) = 5(х - 1)(х + 1)
б) 18b² - 2c² = 2(9b² - c²) = 2(3b - c)(3b + c)
в) 3a² - 12 = 3(a² - 4) = 3(a - 2)(a + 2)
г) 10x² - 10y² = 10(x² - y²) = 10(x - y)(x + y)
Задание 1056
а) х³ - 81x = x(х² - 81) = x(х - 9)(х + 9)
б) 3y³ - 300y = 3y(y² - 100) = 3y(y - 10)(y + 10)
в) 64a - a³ = a(64 - a²) = a(8 - a)(8 + a)
г) 2b³ - 288b = 2(b² - 144) = 2(b - 12)(b + 12)