Answer:
[tex]12x^8-3x^9+6x^4[/tex]
B is the correct option.
Step-by-step explanation:
We have to multiply the expression
[tex]3x^4(4x^4-x^5+2)
Using the distributive property a(b+c)=ab+ac
[tex]3x^4\times4x^4+3x^4\times(-x^5)+3x^4\times2[/tex]
Now, using the exponent rule [tex]x^a\times x^b=x^{a+b}[/tex]
[tex]12x^{4+4}-3x^{4+5}+6x^4[/tex]
On simplifying, we get
[tex]12x^8-3x^9+6x^4[/tex]
B is the correct option.