Final answer:
To solve the expression, distribute the negative sign, then combine like terms to simplify it to -3x² + 3x - 12.
Step-by-step explanation:
To solve the expression (4x² + 2x - 8) - (7x² + 4 - x), you first need to distribute the negative sign to the terms within the second parentheses, changing their signs. This gives us 4x² + 2x - 8 - 7x² - 4 + x. Combine like terms to simplify the expression further: (4x² - 7x²) + (2x + x) - (8 + 4).
Continue simplifying by combining like terms. This gives us -3x² + 3x - 12. Now you have a simplified quadratic expression, which can be used for further operations such as factoring or graphing, depending on what is required next for your problem.
To solve the expression (4x² + 2x - 8) - (7x² + 4 - x), we can simplify by combining like terms. Starting with the first set of parentheses, we distribute the negative sign to each term inside, giving us -7x² - 4 + x. Now, we can combine like terms by adding or subtracting the coefficients of x², x, and the constant term. In this case, -7x² + 4x² = -3x², -4 + x = x - 4, so the simplified expression becomes -3x² + x - 4.