Question 631467
There are no common factors between the coefficients 4 and 27. There are also no common factors between the variables q^2 and r^4


So the GCF is 1. This means that it's trivial to factor out the GCF (since we get the same thing really after we do)


Also, this is a binomial. This means that only the difference of squares rule is used to factor, but we have a sum (and not a difference) of terms.


So we can't use that method either.



So this expression is <font color="red">prime</font> since it can't be factored.



Note: you can also go through the other options and rule them out. For example, choice C) is 4q(q+27r) which distributes to 4q^2 + 108rq, which is NOT the original expression. So choice C is out. You would do the same for the other answer choices.


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