Question

Помогите!
1. Разложить на множители:
1) b3-8c3
2) 49 yx2- y3
3) -7a2+14a-7
4) 5ab-15b-5a+15
5)a4-1

Answer 1

1) b³ - 8c³ = b³ - (2c)³ = (b-2c)(b² + 2bc + 4c²)

2) 49yx² - y³ = y(49x² - y²) = y (7x-y)(7x+y)

3) -7a² + 14a - 7 = -7(a² - 2a + 1) = -7(a-1)²

4) 5ab - 15b - 5a + 15 = 5b(a-3) - 5(a-3) = 5(a-3)(b-1)

5) a⁴-1 = (a²-1)(a²+1) = (a-1)(a+1)(a²+1)