The given expression is
[tex]\frac{-24x^5-30x^3}{-6x^2}[/tex]
First, separate the division, that is, assign the denominator to each term in the numerator.
[tex]\frac{-24x^5}{-6x^2}+\frac{-30x^3}{-6x^2}[/tex]
Second, divide the numbers, -24 by -6 and -30 by -6.
[tex]\frac{4x^5}{x^2}+\frac{5x^3}{x^2}[/tex]
Third, divide the powers, to do so, subtract their exponents.
[tex]4x^{5-2}+5x^{3-2}=4x^3+5x[/tex]
Therefore, the simplest expression after dividing is
[tex]4x^3+5x[/tex]
