Respuesta :

a^4(3a^2 - 2a + 1)

= 3a^6 - 2a^5 + a^4

hope that helps

Answer:

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

Step-by-step explanation:

As given the expression in the question be as follow .

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

First open the bracket

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

Now by using the property of exponent .

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

[tex]= 3a^{2+4}-2a^{4+1}+a^{4}[/tex]

[tex]= 3a^{6}-2a^{5}+a^{4}[/tex]

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