Respuesta :
Answer:
[tex]\frac{18x^2+35}{x} [/tex] is the sum of fractions [tex]18x+\frac{35}{x} [/tex].
Step-by-step explanation:
Given sum of expressions [tex]18x+\frac{35}{x} .[/tex].
In order to add the fractions, we always find the common denominators.
18x could be written as [tex]\frac{18x}{1}[/tex] in a fraction form.
So, [tex]18x+\frac{35}{x} =\frac{18x}{1}+\frac{35}{x} .[/tex]
Now, we can see that denominators of two fractions are, 1 and x.
The least common denominator of 1 and x would be x.
So, we need to multiply [tex]\frac{18x}{1}[/tex] fraction by x in top and bottom.
[tex]\frac{18x\timesx}{1\timesx}[/tex] = [tex]\frac{18x^2}{x}[/tex]
[tex]\frac{18x}{1}+\frac{35}{x}[/tex] would become [tex]\frac{18x^2}{x}+\frac{35}{x}[/tex].
Adding numerators, we get
[tex]\frac{18x^2+35}{x}[/tex]