Question

Разложите на множители многочлен
а)x^3-8
б)x^2-9-2ax-6a

Answer 1

1) x^3-8=(x-2)(x^2+2x+4)
2) x^2-9-2ax-6a=(x-3-2a)(x+3)

Answer 2

x³ - 8 = x³ - 2³ = (x - 3)(x² + 2x + 4)

x² - 9 - 2ax - 6a = (x² - 9) - (2ax + 6a) = (x - 3)(x + 3) - 2a(x + 3) =
= ( x + 3)(x - 3 - 2a)