Question

Multiply (x-4)(x^2-5x-6) ...?

Answer 1

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:  $x^3-9x^2+14x+24$

Answer 2

See attached photo for answer.