Question

How do you subtract `\frac { 12n ^ { 3} + 5n } { n ^ { 5} } - \frac { 8n ^ { 3} + 2n ^ { 2} - 4n } { n ^ { 5} }`?

Answer 1

`(4n^3 - 2n^2 +n)/n^5`

Explanation:

Because both fractions have the same denominator (`n^5`) you can combine terms in the numerator and keep the denominator the same:

`(12n^3 - 8n^3 - 2n^2 + 5n - 4n)/n^5`

`(4n^3 - 2n^2 +n)/n^5`

Would can be further simplified to:

`(n*(4n^2 - 2n + 1))/(n*n^4)`

`(4n^2 - 2n + 1)/n^4`