QuestionSimplify completely: $$\frac{2+\frac{10}{m}}{1-\frac{25}{m^{2}}}$$
Enter the numerator and denominator separately in the boxes below. If the denominator is 1 , enter the number 1. Do not leave either box blank. Make sure that the coefficient on the variable is positive. Answer: $\square$ $\square$ Numerator preview:

Studdy Solution
Factor the expression $m^2 - 25$ as it is a difference of squares:
$$m^2 - 25 = (m - 5)(m + 5)$$
So the expression becomes:
$$\frac{2m + 10}{(m - 5)(m + 5)}$$
Factor out the common factor in the numerator:
$$2m + 10 = 2(m + 5)$$
Thus, the expression simplifies to:
$$\frac{2(m + 5)}{(m - 5)(m + 5)}$$
Cancel the common factor $(m + 5)$:
$$= \frac{2}{m - 5}$$
The simplified numerator is: $2$
The simplified denominator is: $m - 5$