Answer:
The product of (n2 – 6n + 3) and -4n is -4n^3+24n^2-12n. When this product is multiplied by -n, the result is 4n^4-24n^3+12n^2.
Step-by-step explanation:
We have been given an incomplete statement. We are supposed to fill in the blanks for our given statement.
First of all, we will find product of [tex](n^2-6n+3)[/tex] and [tex]-4n[/tex].
[tex]-4n(n^2-6n+3)[/tex]
Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:
[tex]-4n*n^2-4n*-6n-4n*3[/tex]
[tex]-4n^3+24n^2-12n[/tex]
Therefore, the expression for 1st blank is [tex]-4n^3+24n^2-12n[/tex].
Now, we will find product of [tex](-4n^3+24n^2-12n)[/tex] and [tex]-n[/tex].
[tex]-n(-4n^3+24n^2-12n)[/tex]
Using distributive property again [tex]a(b+c)=ab+ac[/tex], we will get:
[tex]-n*-4n^3-n*24n^2-n*-12n)[/tex]
[tex]4n^4-24n^3+12n^2[/tex]
Therefore, the expression for 2nd blank is [tex]4n^4-24n^3+12n^2[/tex].
