Multiplying and Dividing Algebraic Fractions. (Continued)
10.33 Calculate :
Answer: 
Solution:
10.34 Calculate:
Answer: 
Solution:
It is very important to notice where the ‘=’ sign is placed. By noticing this, we can know whether a middle term or an extreme term is missing.
In this exercise, (a – 1) doesn't have a denominator. To be able to have two extremes and two middles, we place 1 as a denominator to (a – 1) and we won't alter the value of the quotient.
THis way, we have two extremes and two middles. From this: …extreme products divided by middle products…
10.35 Calculate:
Answer: 
Solution:
By noticing the position of the ‘=’ sign, we find that we are missing an extreme ( denominator for ‘a – 1’). We write a 1 in its place:
10.36 Find the value of:
Answer: 
Solution:
We start at the end: 
and we write this value: 
We find that we are missing a middle term; the one that should go under 1. As always, we write a 1 where the term is missing:
10.37 Calculate:
Answer: 
Solution:
10.38 Calculate the quotient:
Answer: 
Solution:
There is a factoring product whose application is not as frequent as the ones we have studied so far:
10.39 Calculate:
Answer: 
Solution:
10.40 Calculate:
Answer: 
Solution:
