To simplify the expression (3x^3 - 5x^2 + 2)/(2x^3 + 5x^2 - x), we can first factor out the common terms from the numerator and the denominator:
3x^3 - 5x^2 + 2 = x^2(3x - 5) + 22x^3 + 5x^2 - x = x(2x^2 + 5x - 1)
Now, we can rewrite the expression as (x^2(3x - 5) + 2)/(x(2x^2 + 5x - 1)).
Next, we can simplify further by dividing each term in the numerator by x:
[(3x - 5) + 2/x]/[2x^2 + 5x - 1]
Simplifying the expression finally gives us:
(3x - 5 + 2/x)/(2x^2 + 5x - 1)
To simplify the expression (3x^3 - 5x^2 + 2)/(2x^3 + 5x^2 - x), we can first factor out the common terms from the numerator and the denominator:
3x^3 - 5x^2 + 2 = x^2(3x - 5) + 2
2x^3 + 5x^2 - x = x(2x^2 + 5x - 1)
Now, we can rewrite the expression as (x^2(3x - 5) + 2)/(x(2x^2 + 5x - 1)).
Next, we can simplify further by dividing each term in the numerator by x:
[(3x - 5) + 2/x]/[2x^2 + 5x - 1]
Simplifying the expression finally gives us:
(3x - 5 + 2/x)/(2x^2 + 5x - 1)