Factor each expression by factoring put the GCF.
(3n + 1)(4n + 1) + (n + 2)(4n + 1)

16n^2+16n+3

Steps:

I used the foil method:

(3n+1)(4n+1) = 12n^2+3n+4n+1
(n+2)(4n+1) = 4n^2+n+8n+2

Now combine like terms:

12n^2 + 4n^2 = 16n^2
3n + 4n + n + 8n = 16n
1 + 2 = 3

Put them together:

16n^2 + 16n + 3

Since there's nothing each variable has in common, that's the simplest answer you can get.

so the perpendicular line goes through the given pointyou would get a perpendicular line at some random location

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

What are 5e numbers?