Question

Помогите пожалуйста решить ​

Answer 1

1 задание.

1) b³ - 5b² + b = b(b² - 5b +1)

2) 5ab⁴ + 15a²b² - 25a³b = 5ab(b³ + 3ab - 5a²)

3) x(x - 5) + 6(x - 5) = (x - 5)(x + 6)

4) x(x - 3) - 7(3 - x) = x(x - 3) - 7(-(x - 3)) = x(x - 3) + 7(x - 3) = (x - 3)(x + 7)

2 задание.

1) b³ - b² + 5b - 5 = b²(b - 1) + 5(b - 1) = (b - 1)(b² + 5)

2) x³ - 4x² - 2x + 8 = x²(x - 4) - 2(x - 4) = (x - 4)(x² - 2)

3) 2m⁴ - 4m² + 3m³ - 6m = m(2m³ - 4m + 3m² - 6) = m(2m(m² - 2) + 3(m² - 2)) = m(m² - 2)(2m + 3)

4) 3y⁴ + 2y² - 3y³ - 2y = y(3y³ + 2y - 3y² - 2) = y(y(3y² + 2) - (3y² + 2)) = y(3y² + 2)(y - 1)