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Combine like terms to complete the equivalent expression. 5x^2 - 9x - 8x - 10x^2 - (2x^2 - 7x) - (7x - 4) -...

Combine like terms to complete the equivalent expression.
5x^2 - 9x - 8x - 10x^2 - (2x^2 - 7x) - (7x - 4) - (-2x^2 - x) =
5x^2 - 9x - 8x - 10x^2 - (2x^2 - 7x) + (7x - 4) + (2x^2 + x)

Answer

To combine like terms, first distribute the negative signs and then combine the coefficients of like terms:

  1. Distribute the negative signs:
    5x^2 - 9x - 8x - 10x^2 - 2x^2 + 7x + 7x - 4 + 2x^2 + x
  2. Combine like terms:
  • x^2 terms: (5x^2 - 10x^2 - 2x^2 + 2x^2) = -5x^2
  • x terms: (-9x - 8x + 7x + 7x + x) = -2x
  • Constant terms: (-4) = -4
  • Final expression: -5x^2 - 2x - 4
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