Question

factor $8xy^{4}+5x^{2}y^{4}+8xy^{5}$.
a. $x^{2}y^{4}(4 + y + 4y)$
b. $xy^{4}(8 + 5x + y)$
c. $xy^{4}(8 + 5x + 8y)$
d. $xy^{4}(8y + 5x + y)$

Explanation:

Step1: Identify greatest common factor

The GCF of $8xy^4$, $5x^2y^4$, $8xy^5$ is $xy^4$.

Step2: Divide each term by GCF

$\frac{8xy^4}{xy^4}=8$, $\frac{5x^2y^4}{xy^4}=5x$, $\frac{8xy^5}{xy^4}=8y$

Step3: Factor out the GCF

$xy^4(8 + 5x + 8y)$

Answer:

c. $xy^4(8 + 5x + 8y)$