Final answer:
To simplify the expression 5x²−3x−4−(2x²+4x−1), distribute the negative sign to every term in the parentheses. Then, combine like terms to obtain the simplified expression 3x²−7x−3.
Step-by-step explanation:
To simplify the expression:
5x²−3x−4−(2x²+4x−1)
First, distribute the negative sign to every term in the parentheses:
5x²−3x−4−2x²−4x+1
Combine like terms:
(5x²−2x²) + (-3x-4x) + (-4+1)
3x² - 7x - 3
Therefore, the simplified expression is 3x²−7x−3.