General Idea:
To find the Greatest Common Factor of binomial, we need to write each term as product of prime factors. GCF by definition means the product of common prime factors involved with its lowest terms. It is a number which will go in to both the terms in a binomial.
Given :
Applying the concept :
In order to get the expression inside the parenthesis after factoring GCF 5, we need to divide each term by what we factor out as shown below:
Answer:
Step-by-step explanation:
Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.
4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.
Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a and
. Since 5 can't go into 3, we must use 3 to factor.
Our factoring variable will therefore be . Now, use this to simply divide and get the answer:
So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.
When dividing the 12 and 4, minus the and
to get
. Get rid of the
term for the 16 and leave the 4. And there's your answer!