Answer:
[tex]\frac{x^3-7x^2+15x+6}{x-3}[/tex]
Step-by-step explanation:
[tex]x^2-5x+\frac{6}{x-3}[/tex]
applying the minimum common multiple for each term
minimum common multiple: common and not common with its greatest exponent.
It is divided by the denominator and multiplied by the numerator
[tex]\frac{(x^2.(x-3))-(5x.(x-3))+6}{x-3}[/tex]
apply distributive property
[tex]\frac{x^3-3x^2-5x^2+15x+6}{x-3}[/tex]
group similar terms
[tex]\frac{x^3-7x^2+15x+6}{x-3}[/tex]
