Respuesta :
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] .