Combine Like Terms!!!!

-6z-3z-6x^2

and how did youget the answers???

To combine like terms, you need to identify terms that have the same variable(s) raised to the same exponent(s). Then, you can add or subtract their coefficients to get the simplified expression.

For the expression -6z - 3z - 6x^2, let's first focus on the terms with "z". We have -6z and -3z. Since they both have the variable "z" raised to the power of 1, we can simply add their coefficients.

-6z + (-3z) = -9z

Now, let's look at the term with "x^2", which is -6x^2. There are no other terms with "x^2", so we don't need to combine it with anything else.

By combining like terms, we simplify the expression to:

-6z - 3z - 6x^2 = -9z - 6x^2

To confirm this, I applied the following steps:
1. Identified the terms with the same variable and exponent: -6z and -3z (both with z)
2. Added their coefficients: -6 + (-3) = -9
3. Retained the variable and exponent: z
4. Now, we combine the resulting term with the term -6x^2 (which has different variables) to obtain the final result: -9z - 6x^2.