(-4x+3)-(7x-3x^2-1)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (-4x + 3) - (7x - 3x² - 1)

This expression involves subtracting one polynomial from another. To simplify it, we need to distribute the negative sign and then combine like terms. Let's break it down step-by-step:

1. Distributing the negative sign:

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

   (-4x + 3) + (-1 * 7x) + (-1 * -3x²) + (-1 * -1) 
   

2. Simplifying the signs:

   -4x + 3 - 7x + 3x² + 1
   

3. Combining like terms:

   Identify terms with the same variables and exponents, and combine their coefficients:

   3x² + (-4x - 7x) + (3 + 1)
   

4. Final simplified expression:

   3x² - 11x + 4
   

Therefore, the simplified form of the expression (-4x + 3) - (7x - 3x² - 1) is 3x² - 11x + 4.