(4x^2-x-3)-(x^2+2x-5)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (4x^2 - x - 3) - (x^2 + 2x - 5)

This expression involves subtracting one polynomial from another. To simplify it, we'll follow these steps:

1. Distribute the negative sign: The minus sign in front of the second parenthesis means we multiply each term inside by -1.

   (4x^2 - x - 3) -1 (x^2 + 2x - 5)

   This becomes:

   4x^2 - x - 3 - x^2 - 2x + 5

2. Combine like terms: Now we group the terms with the same variable and exponent.

   (4x^2 - x^2) + (-x - 2x) + (-3 + 5)

3. Simplify: Perform the addition and subtraction operations.

   3x^2 - 3x + 2

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