To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

2z² - 5z²
(2 - 5)z²
-3z²

First, solve for \( \left|x - 6\right| \):

\( \left|x - 6\right| \) + 2 = 8
\( \left|x - 6\right| \) = 8 - 2
\( \left|x - 6\right| \) = 6

The value inside the absolute value brackets can be either positive or negative so (x - 6) must equal + 6 or -6 for \( \left|x - 6\right| \) to equal 6:

So, x = 0 or x = 12.

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (3 + 3) ÷ 4 x 4 - 2²
P: 4 + (6) ÷ 4 x 4 - 2²
E: 4 + 6 ÷ 4 x 4 - 4
MD: 4 + \( \frac{6}{4} \) x 4 - 4
MD: 4 + \( \frac{24}{4} \) - 4
AS: \( \frac{16}{4} \) + \( \frac{24}{4} \) - 4
AS: \( \frac{40}{4} \) - 4
AS: \( \frac{40 - 16}{4} \)
\( \frac{24}{4} \)
6

The greatest common factor (GCF) is the greatest factor that divides two integers.