Question

12n^3 + 16n^3 can someone please help me with this?

Answer 1

`4n^(3) (3n^(2) + 4)`

Explanation:

Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.

4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.

Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a
`n^(5)` and
`n^(3)`. Since 5 can't go into 3, we must use 3 to factor.

Our factoring variable will therefore be
`4n^(3)`. Now, use this to simply divide and get the answer:

`( 12n^(5) + 16n^(3) ) / 4n^(3)  = 4n^(3)(3n^(2) + 4)`

So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.

When dividing the 12 and 4, minus the
`n^(5)` and
`n^(3)` to get
`n^(2)`. Get rid of the
`n^(3)` term for the 16 and leave the 4. And there's your answer!