Answer:
The simplified expression is 10x²y + 12z² - 2z
Explanation:
To simplify the expression, we combine like terms, which are terms that have the same variables raised to the same powers. In this case, we have two terms with the variable 4x²y and two terms with the variable -2z. We can combine these like terms by adding their coefficients:
4x²y + 6x²y = 10x²y
-2z + (-2z) = -4z
So the expression simplifies to:
10x²y + 12z² - 4z
We can further simplify this expression by combining the terms with the variable z:
12z² - 4z = 4z(3z - 1)
Therefore, the final simplified expression is:
10x²y + 4z(3z - 1)
We can also write this expression as:
10x²y + 12z² - 2z
which is the answer provided.