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(x²+5x-7) - (3x²-4x-14)

Group like terms and arrange in descending powers

1 answer

To simplify the expression \((x²+5x-7) - (3x²-4x-14)\), start by distributing the negative sign to the second polynomial:

\[ (x² + 5x - 7) - (3x² - 4x - 14) = x² + 5x - 7 - 3x² + 4x + 14 \]

Next, combine like terms:

  1. For \(x²\) terms: \(x² - 3x² = -2x²\)
  2. For \(x\) terms: \(5x + 4x = 9x\)
  3. For constant terms: \(-7 + 14 = 7\)

Now, putting it together, we have:

\[ -2x² + 9x + 7 \]

Arranging the polynomial in descending powers, the final result is:

\[ -2x² + 9x + 7 \]