Final answer:
To simplify the expression, distribute -2 across the second term and combine like terms to get the result 2x² + 2x - 2.
Step-by-step explanation:
To simplify the expression (4x²+2x)-2(x²+1), we first apply the distributive property to the second term, multiplying -2 with both x² and 1:
4x² + 2x - 2x² - 2
Next, we combine like terms:
(4x² - 2x²) + (2x) - 2
This simplifies to:
2x² + 2x - 2
Now we have the simplified form of the original expression.