Answer:
[tex](x+1)(x^{2}-10x+24)[/tex]
Step-by-step explanation:
The given equation is :
[tex](x-4)(x^{2}-5x-6)[/tex]
On Multiplying, we get
=[tex]x^{3}-4x^{2}-5x^{2}+20x-6x+24[/tex]
=[tex]x^{3}-4x^{2}-5x^{2}+14x+24[/tex]
=[tex]x^{3}-9x^{2}+14x+24[/tex]
Simplifying the above equation, we get
=[tex](x+1)(x^{2}-10x+24)[/tex]
which is the required simplified form.
