Simplifying the Expression: (10x² - 4x + 3) - (7x² - 3x + 13)
This expression involves subtracting two polynomials. To simplify it, we need to distribute the negative sign and combine like terms.
Here's how to do it:
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Distribute the negative sign: (10x² - 4x + 3) + (-1)(7x² - 3x + 13)
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Multiply the negative sign: 10x² - 4x + 3 - 7x² + 3x - 13
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Combine like terms: (10x² - 7x²) + (-4x + 3x) + (3 - 13)
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Simplify: 3x² - x - 10
Therefore, the simplified expression is 3x² - x - 10.