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

Jasonbradley

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Jun 16, 2024

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

This expression involves subtracting two polynomials. Here's how to simplify it:

Step 1: Distribute the negative sign

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

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

Step 2: Combine like terms

We group together the terms with the same variable and exponent:

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

Step 3: Simplify

Now, we perform the arithmetic:

-x^2 + 3

Therefore, the simplified expression is -x^2 + 3.