16 September, 01:42
What is (x+6) (x+4) (x-3) expand and simplify
16 September, 02:30
x³ + 7x² - 6x - 72
(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
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