Question

Hello. I need help with this practice problem. I will include a picture. Thank you soo much

Answer 1

Firstly, we need to compare the information ew have from both sides of the equation, the denominators.

The different between the denominator is that the right side has the factor (w + 6), while the lest side does not.

So, sstarting from the expression on the left side, we can introduce the factor (w + 6) into the denominator by multiplying both the numerator and the denominator by this factor:

`(2)/(w+7)=(2)/(w+7)\cdot(w+6)/(w+6)=(2(w+6))/((w+7)(w+6))`

The order of the factor dont change the result, so we can switch the factors on the denominator to get:

`(2)/(w+7)=(2(w+6))/((w+6)(w+7))`

Now, by comparison, we can see that the blank part is the following:

`2(w+6)`