Respuesta :

TSO
[tex]2x^4(4x^2 + 3x + 1)=\\\\(2x^4)(4x^2)+(2x^4)(3x)+(2x^4)(1)=\\\\8x^6 + 6x^5+2x^4[/tex]

The answer is A.

Answer:

The product of the [tex]2x^{4}(4x^{2}+3x+1)[/tex] is [tex]8x^{6}+6x^{5}+2x^{4}[/tex] .

Step-by-step explanation:

As given the expression in the question be

[tex]= 2x^{4}(4x^{2}+3x+1)[/tex]

First open the bracket

[tex]= 2x^{4}\times 4x^{2}+2x^{4}\times 3x+2x^{4}\times 1[/tex]

Now by using the property

[tex]x^{a}\times x^{b}=x^{a+b}[/tex]

[tex]= 8x^{6}+6x^{5}+2x^{4}[/tex]

Therefore the product of the [tex]2x^{4}(4x^{2}+3x+1)[/tex] is [tex]8x^{6}+6x^{5}+2x^{4}[/tex] .