Simplify this expression...
x^2-9/x^3-3x^2
I am pretty sure you meant to type
(x^2 - 9)/(x^3 - 3x^2)
then
= (x+3)(x-3)/(x^2(x-3))
= (x+3)/x^2 , x ≠ 3
Do your other question the same way, you also did not type it correctly.
To simplify the expression (x^2-9) / (x^3-3x^2), we can factor the numerator and denominator and then cancel out any common factors.
Step 1: Factor the numerator and denominator.
Numerator = x^2 - 9
Since this is a difference of squares, we can rewrite it as (x - 3)(x + 3).
Denominator = x^3 - 3x^2
We can factor out x^2 from both terms, so we have x^2(x - 3).
Step 2: Cancel out common factors.
Now we can cancel out the common factor (x - 3) from the numerator and denominator. This leaves us with:
(x + 3) / x^2
Therefore, the simplified expression is (x + 3) / x^2.