3n^2 - n/ n^2 - 1 / n^2/ n+1
is the answer 3n-1/n^2-n or 3-n/ n-1
is this what the problem looks like:
(( 3n)^2 - (n/n^2) - 1)/ (n^2 / n+1)?
please repost using brackets, which are essential in this kind of typing.
e.g near the end you have consecutive divisions, that is very unusual
.... - 1 / n^2/ n+1
To simplify the given expression:
3n^2 - n / n^2 - 1 / n^2 / n + 1,
we need to follow the rules of arithmetic operations.
First, let's simplify the expression inside the parentheses:
3n^2 - n
Now, divide it by the expression after the forward slash:
(n^2 - 1)
Since division is the same as multiplying by the reciprocal, this can be written as:
(3n^2 - n) * (n^2 + 1) / (n^2 - 1)
Next, multiply the numerator:
(3n^2 - n) * (n^2 + 1) = 3n^4 + 3n^2 - n^3 - n
Then, divide by the denominator:
3n^4 + 3n^2 - n^3 - n / (n^2 - 1)
Now, let's simplify the expression after the next forward slash:
(n^2)
Again, this is the same as multiplying by the reciprocal:
(3n^4 + 3n^2 - n^3 - n) / (n^2 - 1) * (1/n^2)
Now, multiply the numerator:
(3n^4 + 3n^2 - n^3 - n) / (n^2 - 1) * (1/n^2) = 3n^2 + 3 - (n/n^2) - (1/n)
Finally, let's simplify the remaining terms:
3n^2 + 3 - (n/n^2) - (1/n)
Combining like terms, we can rewrite this as:
3n^2 + 3 - 1/n - 1/n^2
Therefore, the simplified expression is:
3n^2 + 3 - 1/n - 1/n^2