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Unit price means the cost per unit.
I'll provide an example.
If 4 bars of soap cost $2.35, find the unit price. Round to the nearest cent if necessary.
Remember that the unit price is the cost per unit which in this case is the cost per bar of soap. Since $2.35 is the cost for 4 bars of soap, to find the cost per bar of soap, we divide 4 into $2.35.
When we do this, we get an answer of 0.587 which rounds up to 59 cents.
Therefore, the unit price for soap is 59 cents.
We have the rational expression 
; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator 
.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable
, and the least exponent of that variable is 1, so will be the other part of our common factor. Lets put the two parts of our common factor together to get .
Now that we have our common factor, we can rewrite our numerator as follows:
We are luckily, we have in both numerator and denominator, so we can cancel those out:
We can conclude that the simplified version of our rational function is
.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable
Now that we have our common factor, we can rewrite our numerator as follows:
We are luckily, we have
We can conclude that the simplified version of our rational function is