Question

(x²+5x-7) - (3x²-4x-14)
Group like terms and arrange in descending powers. □

Answer 1

To simplify the expression \((x² + 5x - 7) - (3x² - 4x - 14)\), we'll first distribute the negative sign and then group like terms.

1. Distribute the negative sign:
\[
(x² + 5x - 7) - (3x² - 4x - 14) = x² + 5x - 7 - 3x² + 4x + 14
\]

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

3. Putting it all together, we get:
\[
-2x² + 9x + 7
\]

Thus, the final expression in descending powers is:
\[
-2x² + 9x + 7
\]