How do you simplify $\frac{12 n^{2} + 15 n}{3 n}$ $(12n^2+15n)/(3n)$ ?

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Answer 1 · 2018-03-02T04:03:19

$4 n + 5$ $4n+5$

We have the function $\frac{12 n^{2} + 15 n}{3 n}$ $(12n^2+15n)/(3n)$

Taking a good look at the numerator, we realize that we can factor $3 n$ $3n$ out:

$\frac{3 n (4 n + 5)}{3 n}$ $(3n(4n+5))/(3n)$

We have a $3 n$ $3n$ on top and on the bottom, so this becomes:

$4 n + 5$ $4n+5$ , the answer!

Answer 2 · 2018-03-02T04:06:09

You have to find the factors of all of the terms, then simplify as needed.

You start off with this:

$\frac{12 n^{2} + 15 n}{3 n}$ $(12n^2 + 15n)/(3n)$

Then, you take out the common factors:

$\frac{3 n (4 n + 5)}{3 n}$ $(3n(4n+5))/(3n)$

Finally, you simplify by cancelling the $3 n$ $3n$ from the numerator and the denominator:

$4 n + 5$ $4n+5$

And you're done!

How do you simplify (12n^2+15n)/(3n)12n2+15n3n(12n^2+15n)/(3n)?