Please help!!!! BRAINLIEST for whoever is correct!! What is the difference of the rational expressions below?


Answer:
Step-by-step explanation:
[tex] \frac{x + 5}{ {x}^{2} } - \frac{2}{5x} [/tex]
Write all the numbers above the least common denominator [tex] {5x}^{2} [/tex]
[tex] \frac{5(x + 5) - 2x}{5 {x}^{2} } [/tex]
Distribute 5 through the parentheses
[tex] \frac{5x + 25 - 2x}{5 {x}^{2} } [/tex]
Collect like terms
[tex] \frac{3x + 25}{5 {x}^{2} } [/tex]
Hope this helps...
Good luck on your assignment...
Answer:
third option
Step-by-step explanation:
Given
[tex]\frac{x+5}{x^2}[/tex] - [tex]\frac{2}{5x}[/tex]
We require the denominators to be common before subtracting.
Multiply numerator/ denominator of first fraction by 5
Multiply numerator/ denominator of second fraction by x
[tex]\frac{5(x+5)}{5x^2}[/tex] - [tex]\frac{2x}{5x^2}[/tex]
Simplify numerator leaving common denominator
= [tex]\frac{5x+25-2x}{5x^2}[/tex]
= [tex]\frac{3x+25}{5x^2}[/tex]