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

Hello! I need help with this practice problem. Thank you soo much. I will include-example-1
User Starblue
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1 Answer

13 votes
13 votes

Answer:

2( w + 6)

Step-by-step explanation:

We have to put some expressions into the blank such that rational expression on the light simplifies to equal the rational function on the left.

Now let us make a guess and say that the expression to write in the blank is 2 (w +6). Putting this guess into the blank gives


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

the term w + 6 cancels from both the numerator and the denominator to give


(2)/(w+7)

which is exactly the expression we find on the left-hand side of our original equality!

This tells us that our guess was correct and the expression to be filled into the blank is 2( w+ 6).

User Sobis
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