(10x^2-4x+3)-(7x^2-3x+13)

less than a minute read Jun 16, 2024
(10x^2-4x+3)-(7x^2-3x+13)

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:

  1. Distribute the negative sign: (10x² - 4x + 3) + (-1)(7x² - 3x + 13)

  2. Multiply the negative sign: 10x² - 4x + 3 - 7x² + 3x - 13

  3. Combine like terms: (10x² - 7x²) + (-4x + 3x) + (3 - 13)

  4. Simplify: 3x² - x - 10

Therefore, the simplified expression is 3x² - x - 10.

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