Question

Multiply the polynomials (3x^2+4x+4)(2x-4)

Answer 1

6x3−4x2−8x−16 is the answer

Answer 2

The resultant expression is
`6 x^3 - 4 x^2 - 8 x - 16`.

Explanation:

The given expression is

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

Using distributive property, the above expression can be written as

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

`6x^3-12x^2+8x^2-16x+8x-16`

`6 x^3 - 4 x^2 - 8 x - 16`

Therefore the resultant expression is
`6 x^3 - 4 x^2 - 8 x - 16`.