In factoring by group how do you solve:

x^3+8x^2-x-8

Also:

y^3-y^2+2y-2

(x + 8) (x + 1) (x - 1)

(y - 1) (y² + 2)

Step-by-step explanation:

x³ + 8x² - x - 8

Factor from the first two terms:

x² (x + 8) - x - 8

And from the last two terms:

x² (x + 8) - (x + 8)

Factor:

(x + 8) (x² - 1)

Factor the difference of squares:

(x + 8) (x + 1) (x - 1)

y³ - y² + 2y - 2

Factor from the first two terms:

y² (y - 1) + 2y - 2

And from the last two terms:

y² (y - 1) + 2 (y - 1)

Factor:

(y - 1) (y² + 2)