Question

subtract.
$-6q^2 - (-2q^2 - 9)$

Explanation:

Step1: Distribute the negative sign

To subtract the polynomial \(-6q^2 - (-2q^2 - 9)\), we first distribute the negative sign to the terms inside the parentheses. This gives us \(-6q^2 + 2q^2 + 9\) (because subtracting a negative is like adding a positive, so \(-(-2q^2)=+2q^2\) and \(-(-9)=+9\)).

Step2: Combine like terms

Now, we combine the like terms \(-6q^2\) and \(+2q^2\). The coefficient of \(q^2\) terms: \(-6 + 2 = -4\), so the \(q^2\) term becomes \(-4q^2\), and the constant term remains \(+9\). So the expression simplifies to \(-4q^2 + 9\).

Answer:

\(-4q^2 + 9\)