What is (x+6) (x+4) (x-3) expand and simplify

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6) (x + 4) (x - 3) ← expand the second and third factor, that is

(x + 4) (x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x (x - 3) + 4 (x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6) (x² + x - 12)

= x (x² + x - 12) + 6 (x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72