Question

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

Answer 1

Let's solve the expression step by step:

1. **Distribute Property:**
We need to distribute the negative sign across the second polynomial:
\[
(x^2 + 5x - 7) - (3x^2 - 4x - 14) = x^2 + 5x - 7 - 3x^2 + 4x + 14
\]

2. **Group Like Terms:**
Now we can group the like terms together:
- Combine the \(x^2\) terms: \(x^2 - 3x^2\)
- Combine the \(x\) terms: \(5x + 4x\)
- Combine the constant terms: \(-7 + 14\)

This gives us:
\[
(x^2 - 3x^2) + (5x + 4x) + (-7 + 14)
\]

3. **Simplify:**
Now, we simplify each group:
- \(x^2 - 3x^2 = -2x^2\)
- \(5x + 4x = 9x\)
- \(-7 + 14 = 7\)

Therefore, we combine these results:
\[
-2x^2 + 9x + 7
\]

So, the simplified expression is:
\[
\boxed{-2x^2 + 9x + 7}
\]