Respuesta :

(2x^2 + 3x - 6)(x - 1) =
x(2x^2 + 3x - 6) -1(2x^2 + 3x - 6) =
2x^3 + 3x^2 - 6x - 2x^2 - 3x + 6 = 
2x^3 + x^2 - 9x + 6 <==

Answer:

Simplified form is [tex]=2x^{3}+x^{2}-9x+6[/tex].

Step-by-step explanation:

The given expression is [tex](2x^{2}+3x-6)(x-1)[/tex]

and we have to solve this expression.

We will apply the distribution law first and then simplify.

[tex]=x(2x^{2}+3x-6)-1(2x^{2}+3x-6)[/tex]

[tex]=2x^{3}+3x^{2}-6x-2x^{2}-3x+6[/tex]

[tex]=2x^{3}+x^{2}-9x+6[/tex]

So the simplified form of the expression is [tex]2x^{3}+x^{2}-9x+6[/tex]