Question

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

Answer 1

Answer:

$\frac{3x + 25}{5 {x}^{2} }$

Step-by-step explanation:

$\frac{x + 5}{ {x}^{2} } - \frac{2}{5x}$

Write all the numbers above the least common denominator ${5x}^{2}$

$\frac{5(x + 5) - 2x}{5 {x}^{2} }$

Distribute 5 through the parentheses

$\frac{5x + 25 - 2x}{5 {x}^{2} }$

Collect like terms

$\frac{3x + 25}{5 {x}^{2} }$

Hope this helps...

Good luck on your assignment...

Answer 2

Answer:

third option

Step-by-step explanation:

Given

$\frac{x+5}{x^2}$ - $\frac{2}{5x}$

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

$\frac{5(x+5)}{5x^2}$ - $\frac{2x}{5x^2}$

Simplify numerator leaving common denominator

= $\frac{5x+25-2x}{5x^2}$

= $\frac{3x+25}{5x^2}$