(3x^2+2x+1)-(x^2-3x+4)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (3x^2 + 2x + 1) - (x^2 - 3x + 4)

This expression involves subtracting two trinomials. Let's break down the steps to simplify it:

1. Distribute the Negative Sign

First, we need to distribute the negative sign in front of the second set of parentheses. Remember that multiplying a negative by a negative results in a positive, and multiplying a negative by a positive results in a negative:

(3x^2 + 2x + 1) - (x^2 - 3x + 4) = 3x^2 + 2x + 1 - x^2 + 3x - 4

2. Combine Like Terms

Now we can combine the terms that have the same variable and exponent:

(3x^2 - x^2) + (2x + 3x) + (1 - 4)

3. Simplify

Finally, perform the addition and subtraction operations:

2x^2 + 5x - 3

Therefore, the simplified form of the expression (3x^2 + 2x + 1) - (x^2 - 3x + 4) is 2x^2 + 5x - 3.