This is true.
Use all the common factors with the least exponent.
Thus, we have
Do the same for the variables. Find the common variables and use the least exponent.
Regarding GCF factoring, can the same answer be derived from multiple number sets? Specifically fin the following problem:
& its answer 40a^5(x + 2y - 3z)
40 obviously is the GCF and goes into all three numbers. But what if one doesn't realize this initially and decides to approach it as such?
pulling out the terms
then finding the lowest power of each variable and number. Will one still arrive at the same answer as if they used 40 as the GCF?
Yikes, you changed yours up a little bit in your example
Instead of what I used, 2^2 * 10 = 40 for the first term you used 2^3 * 5 was. So is answer is already wrong at this point, going with 2^2 * 10 = 40? If so how can I avoid future problems such as this?
When factoring numbers to find the GCF, you should factor everything completely into powers of prime numbers. 10 is not prime, because , but 2 and 5 are both prime. Once you have factored completely, then you can take the common factors, and their product will be your greatest common factor.