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

Please help BRAINLIEST for whoever is correct What is the difference of the rational expressions below class=
Please help BRAINLIEST for whoever is correct What is the difference of the rational expressions below class=

Respuesta :

Answer:

[tex] \frac{3x + 25}{5 {x}^{2} } [/tex]

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]

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