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2x² + 3

Explanation:
Before we begin, remember the following:
(-ve) * (-ve) = (+ve)
(-ve) * (+ve) = (-ve)
(+ve) * (+ve) = (+ve)
(+ve) * (-ve) = (-ve)

Now, for the given, we have:
(3x² + 2x + 4) - (x² + 2x + 1)

First, we will remove the brackets based on the above rules. This will give us:
3x² + 2x + 4 - x² - 2x - 1

Now, we will combine like terms as follows:
(3-1) x² + (2-2) x + (4-1)

This will give us the final expression:
2x² + 0x + 3
which is equivalent to:
2x² + 3

Hope thus helps :)