Question

question
factor completely.
-22xy²z⁸ - 33x⁵y⁵z⁴

Explanation:

Step1: Find the GCF of coefficients and variables

First, find the greatest common factor (GCF) of the coefficients -22 and -33. The GCF of 22 and 33 is 11, and since both terms are negative, we can take -11. For the variables:

• For \( x \): the lowest power is \( x^1 \) (from \( -22xy^2z^8 \))
• For \( y \): the lowest power is \( y^2 \) (from \( -22xy^2z^8 \))
• For \( z \): the lowest power is \( z^4 \) (from \( -33x^5y^5z^4 \))

So the GCF of the two terms is \( -11xy^2z^4 \).

Step2: Factor out the GCF

Factor out \( -11xy^2z^4 \) from each term:

$$
LATEXBLOCK0
$$

Answer:

\( -11xy^2z^4(2z^4 + 3x^4y^3) \)