Question

The product of (n2 – 6n + 3) and -4n is________ When this product is multiplied by -n, the result is________

Answer 1

-4n^3+24n^2-12n, 4n^4-24n^3+12n^2

Answer 2

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 $(n^2-6n+3)$ and $-4n$.

$-4n(n^2-6n+3)$

Using distributive property $a(b+c)=ab+ac$, we will get:

$-4n*n^2-4n*-6n-4n*3$

$-4n^3+24n^2-12n$

Therefore, the expression for 1st blank is $-4n^3+24n^2-12n$.

Now, we will find product of $(-4n^3+24n^2-12n)$ and $-n$.

$-n(-4n^3+24n^2-12n)$

Using distributive property again $a(b+c)=ab+ac$, we will get:

$-n*-4n^3-n*24n^2-n*-12n)$

$4n^4-24n^3+12n^2$

Therefore, the expression for 2nd blank is $4n^4-24n^3+12n^2$.