Question

Multiply.. (2x2 + 3x – 6)(x – 1)

Answer 1

(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 2

Simplified form is
`=2x^(3)+x^(2)-9x+6`.

Explanation:

The given expression is
`(2x^(2)+3x-6)(x-1)`

and we have to solve this expression.

We will apply the distribution law first and then simplify.

`=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`

So the simplified form of the expression is
`2x^(3)+x^(2)-9x+6`