Question

factor the following polynomials completely. if the expression cannot be factored, enter the expression as is.
a) 25xz - 30z
b) 4xy^{2}-6xy

Explanation:

Step1: Find GCF for 25xz - 30z

The GCF of 25xz and 30z is 5z.

Step2: Factor out GCF

$25xz - 30z=5z(5x - 6)$

Step3: Find GCF for 4xy² - 6xy

The GCF of 4xy² and 6xy is 2xy.

Step4: Factor out GCF

$4xy^{2}-6xy = 2xy(2y - 3)$

Answer:

a) $5z(5x - 6)$
b) $2xy(2y - 3)$