Question

Find the product of 2x4(4x2 + 3x + 1).

8x6 + 6x5 + 2x4

8x8 + 3x4 + 2x4

2x4 + 6x5 + 8x6

6x6 + 5x5 + 3x4

Answer 1

`2x^4(4x^2 + 3x + 1)=\\\\(2x^4)(4x^2)+(2x^4)(3x)+(2x^4)(1)=\\\\8x^6 + 6x^5+2x^4`

The answer is A.

Answer 2

The product of the
`2x^(4)(4x^(2)+3x+1)` is
`8x^(6)+6x^(5)+2x^(4)` .

Explanation:

As given the expression in the question be

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

First open the bracket

`= 2x^(4)* 4x^(2)+2x^(4)* 3x+2x^(4)* 1`

Now by using the property

`x^(a)* x^(b)=x^(a+b)`

`= 8x^(6)+6x^(5)+2x^(4)`

Therefore the product of the
`2x^(4)(4x^(2)+3x+1)` is
`8x^(6)+6x^(5)+2x^(4)` .