(10x^ 2 -7x+7)-(4x^ 2 +5x-9)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (10x² - 7x + 7) - (4x² + 5x - 9)

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

1. Distribute the negative sign: Remember that subtracting a polynomial is the same as adding its opposite. So, we distribute the negative sign to each term inside the second set of parentheses:

   (10x² - 7x + 7) + (-4x² - 5x + 9)

2. Combine like terms: Identify terms with the same variable and exponent, then add their coefficients:

   (10x² - 4x²) + (-7x - 5x) + (7 + 9)

3. Simplify: Finally, perform the arithmetic operations:

   6x² - 12x + 16

Therefore, the simplified expression of (10x² - 7x + 7) - (4x² + 5x - 9) is 6x² - 12x + 16.