Add and Simplify: 100x/x+10 + x^3/x+10
I have the answer as X^3+100x/X+10 is this correct?
Are the x+10 terms in denominators? If so, you should have put parentheses around them.
If that is the case, then yes,
(x^3 +100x)/(x+10) is the answer.
It can also be written
x(x^2+100)/(x+10)
If that were a (x^2-100) in the numerator, you could simplify it even more by factoring.
To add and simplify the expression **100x/(x+10) + (x^3)/(x+10)**, you need to find a common denominator, add the fractions, and then simplify.
First, find the common denominator, which is (x+10) since both fractions have the same denominator.
Now, let's add the fractions together:
**(100x + x^3)/(x+10)**
So, your answer is indeed **(100x + x^3)/(x+10)**.
Note that when simplifying, if there are any common factors in the numerator and denominator, you can simplify further. However, in this case, there are no common factors to simplify.
Therefore, your answer is correct--**(100x + x^3)/(x+10)**