IDNLearn.com offers a collaborative platform for sharing and gaining knowledge. Get accurate and comprehensive answers from our network of experienced professionals.
Step-by-step explanation:
To simplify the expression \(3 - (x^2 - 2y) - (3x^2 + 2)\), follow these steps:
1. Distribute the negative signs inside the parentheses:
\[
3 - (x^2 - 2y) - (3x^2 + 2) = 3 - x^2 + 2y - 3x^2 - 2
\]
2. Combine like terms:
- Combine constants: \(3 - 2 = 1\)
- Combine \(x^2\) terms: \(-x^2 - 3x^2 = -4x^2\)
So, the simplified expression is:
\[
-4x^2 + 2y + 1
\]