Multiply.. (2x2 + 3x – 6)(x – 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:
Simplified form is \(=2x^{3}+x^{2}-9x+6\).
Step-by-step 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 \(2x^{3}+x^{2}-9x+6\)