Answer:
[tex]8x-5+2x\dfrac{x}{y}[/tex] = [tex]\dfrac{8xy-5y+2x^2}{y}[/tex]
Step-by-step explanation:
In this question, we need to simplify [tex]8x-5+2x\dfrac{x}{y}[/tex]
We can convert elements to fractions.
[tex]8x=\dfrac{8xy}{y},\:5=\dfrac{5y}{y}[/tex]
= [tex]\dfrac{8xy}{y}-\dfrac{5y}{y}+\dfrac{2x^2}{y}[/tex]
As the denominators are equal, we can combine the fractions as follows :
=[tex]\dfrac{8xy-5y+2x^2}{y}[/tex]
Hence, the simplified form is : [tex]8x-5+2x\dfrac{x}{y}[/tex] = [tex]\dfrac{8xy-5y+2x^2}{y}[/tex]
