Question

question
factor completely.
$-37xy^{5}z^{8} + 17x^{5}y^{4}z^{4}$
answer attempt 1 out of 2

Explanation:

Step1: Identify common factors

Find the greatest common factor (GCF) of the two terms. For the coefficients, GCF of 37 and 17 is 1 (since they are prime and different). For variables: \(x\) has lowest power 1, \(y\) has lowest power 4, \(z\) has lowest power 4. So GCF is \(x y^{4} z^{4}\).

Step2: Factor out the GCF

Factor \(x y^{4} z^{4}\) from each term:
\(-37x y^{5} z^{8}+17x^{5} y^{4} z^{4}=x y^{4} z^{4}(-37y z^{4}+17x^{4})\)

Answer:

\(x y^{4} z^{4}(-37y z^{4}+17x^{4})\)