Answer:
The answer is: \(x^3-9x^2+14x+24\)
Step-by-step explanation:
The given expression is: \((x-4)(x^2-5x-6)\)
For getting the product, we need to distribute \((x-4)\) with each term in the second parenthesis. So.....
\((x-4)(x^2-5x-6)\\ \\ =x^2(x-4)-5x(x-4)-6(x-4)\\ \\ =x^3-4x^2-5x^2+20x-6x+24 \ [using\ distribution\ rule]\\ \\ =x^3-9x^2+14x+24\ [combining\ like\ terms]\)
So, the answer is: \(x^3-9x^2+14x+24\)
