Question

What is the difference of the rational expressions below?
X+5/x^2-2/5x

Answer 1

Answer:

$\large\boxed{\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{3x+25}{5x^2}}$

Step-by-step explanation:

$\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{5(x+5)}{5x^2}-\dfrac{2x}{5x^2}\qquad\text{use the distributive property}\\\\=\dfrac{5x+25}{5x^2}-\dfrac{2x}{5x^2}=\dfrac{5x+25-2x}{5x^2}=\dfrac{3x+25}{5x^2}$

Answer 2

The difference between the rational expressions below will be,$\frac{3x+25}{5x^2}$

What is an arithmetic operation?

Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them.

The difference in the rational expression is found as;

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

The difference between the rational expressions below will be,$\frac{3x+25}{5x^2}$.

To learn more about the arithmetic operation, refer to the link;https://brainly.com/question/25834626

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