Question

Subtract.
9n - 8/n+1

Answer 1

To subtract 9n - 8/n + 1, we need to combine like terms.

9n - 8/n + 1

To combine, we need a common denominator. The denominator of "n" is "n," the denominator of "-8" is "1," and the denominator of "1" is "n + 1." To find the common denominator, we multiply n * 1 * (n + 1), which gives us n(n)(n + 1) = n^2(n + 1).

Now, let's convert each term to have the common denominator of n^2(n + 1):

9n(n)(n+1)/n^2(n+1) - 8(n^2)(n+1)/n^2(n+1) + 1(n^2)/n^2(n+1)

Now, we simplify:

(9n^2(n + 1) - 8n^2(n + 1) + n^2) / n^2(n + 1)

Combine like terms:

9n^3 + 9n^2 - 8n^2 - 8n + 1 / n^2(n + 1)

Finally, simplify the terms:

n^3 + n^2 - 8n + 1 / n^2(n + 1)