$(X - 2) (X - 3) (X + 4)$ Multiply using expansion.

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Solution

Expanding using expansion formulas
As we know, $(x - a) (x - b) = x^{2} - a x - b x + a b$
Then,
$(X - 2) (X - 3) (X + 4) = (X^{2} - 3 X - 2 X + 6) (X + 4) = (X^{2} - 5 X + 6) (X + 4) = X^{3} - 5 X^{2} + 4 X^{2} + 6 X - 20 X + 24 = X^{3} - X^{2} - 14 X + 24$
Thus, $(X - 2) (X - 3) (X + 4) = X^{3} - X^{2} - 14 X + 24$

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