Question

(3x – 1)(2x2 + 4x + 3)

Answer 1

Answer: (3x-1)(4x+7)

Answer 2

For this case we make the product of the following expression:

`(3x-1) (2x ^ 2 + 4x + 3)`

To make the product we must apply distributive property that by definition establishes that:

`(a + b) (c + d) = ac + ad + bc + bd`

So:

`(3x-1) (2x ^ 2 + 4x + 3) =\\6x ^ 3 + 12x ^ 2 + 9x-2x ^ 2-4x-3 =`

We group similar terms:
`6x ^ 3 + (12x ^ 2-2x ^ 2) + (9x-4x) -3 =\\6x ^ 3 + 10x ^ 2 + 5x-3`

Answer:

`6x ^ 3 + 10x ^ 2 + 5x-3`