(4x3−12x2−5)−(−8x2+4x+3)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (4x³ - 12x² - 5) - (-8x² + 4x + 3)

This expression involves subtracting two polynomials. To simplify it, we need to follow these steps:

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

   (4x³ - 12x² - 5) + (8x² - 4x - 3)

2. Combine like terms: Identify terms with the same variable and exponent and combine their coefficients.

   4x³ + (-12x² + 8x²) - 4x + (-5 - 3)

3. Simplify: Perform the indicated operations.

   4x³ - 4x² - 4x - 8

Therefore, the simplified form of the expression (4x³ - 12x² - 5) - (-8x² + 4x + 3) is 4x³ - 4x² - 4x - 8.