Question

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

Answer 1

See attached photo for answer.

Answer 2

The answer is:
`x^3-9x^2+14x+24`

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`