Question

Select the correct answer.

Answer 1

Answer:

Option C

Step-by-step explanation:

Difference of the two expressions has been written as,

$\frac{3x}{x^2-7x+10}-\frac{2x}{3(x-5)}$

To rewrite this expression as one expression,

First he factored the the denominators,

$\frac{3x}{(x-2)(x-5)}-\frac{2x}{3(x-5)}$

Then Juan will make the denominators of both the terms equal,

For which he will multiply the second expression by $\frac{x-2}{x-2}$.

$\frac{3x}{(x-2)(x-5)}-\frac{2x(x-2)}{3(x-5)(x-2)}$

Option C will be the correct option.