Question

Select the correct answer.
Juan needs to rewrite this difference as one expression.
31
25
2 – 75 + 10
3 15
First he factored the denominators.
25
(1-2)(: - 5) — 345 - 5)
What step should Juan take next when subtracting these expressions?
OA.
Cancel the factor x from the numerator and the denominator of both fractions.
ОВ.
Subtract the numerators.
Oc. Multiply the second fraction by = 2
Multiply the first fraction by
OD.

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.