(x^5/x(x+3))-(x-3/3(x^2-3x+9))
Simplify the expression first before solving. Remember that when dividing fractions, you can multiply the first fraction by the reciprocal of the second. Hence,(x^5/x(x+3))-(x-3/3(x^2-3x+9))
becomes
(x^5/x(x+3))-((x-3)(x+3)/3(x-3)(x+3))
which simplifies to
x^4-(x+3)/3(x^2-9)
Now, the expression can be written as
(x^4-x-3)/3x^2-27)
or
(x^2-3)(x^2+1)/3(x^2-3)(x+3)=
(x^2+1)/3(x+3)
Expressions with factors of x-3 can be cancelled out, leaving us with the final answer of
1/3(x+3)
