find the difference. (3 - 2x + 2x²) - (4x - 5 + 3x²)

find the difference. (3 - 2x + 2x²) - (4x - 5 + 3x²)
Answer
Explanation:
Step1: Remove parentheses
$$(3 - 2x + 2x^{2})-(4x - 5+3x^{2})=3 - 2x + 2x^{2}-4x + 5-3x^{2}$$
Step2: Combine like - terms
For the (x^{2}) terms: (2x^{2}-3x^{2}=-x^{2}) For the (x) terms: (-2x-4x=-6x) For the constant terms: (3 + 5=8) So, (3 - 2x + 2x^{2}-4x + 5-3x^{2}=-x^{2}-6x + 8)
Answer:
(-x^{2}-6x + 8)