R^3+2r^2-9r-18 complete factorization

(r-3) (r+3) (r+2)

Step-by-step explanation:

To factor the equation, factor by grouping. Group the terms in pairs and factor out a GCF.

r³ + 2r² - 9r - 18

(r³ + 2r²) + (-9r - 18)

r² (r + 2) - 9 (r + 2)

(r² - 9) (r+2)

Factor r² - 9 as a difference of squares.

(r-3) (r+3) (r+2)