Simplify (14x2−3x+2.25)+(0.75x2+2x−14)

.(1 point)
The sum of the polynomials is
.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To simplify the expression \((14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)\), you can combine like terms.

1. **Combine the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = 14.75x^2
\]

2. **Combine the \(x\) terms:**
\[
-3x + 2x = -1x \text{ (or just } -x\text{)}
\]

3. **Combine the constant terms:**
\[
2.25 - 14 = -11.75
\]

Now, putting it all together, the simplified sum of the polynomials is:
\[
14.75x^2 - x - 11.75
\]

Thus, the sum of the polynomials is \(\boxed{14.75x^2 - x - 11.75}\).

anonymous anonymous answered
1 month ago

wrong

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

Let’s go through the simplification step by step again.

We start with the expression:
\[
(14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)
\]

Now, we'll combine the like terms.

1. **Combine the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = (14 + 0.75)x^2 = 14.75x^2
\]

2. **Combine the \(x\) terms:**
\[
-3x + 2x = (-3 + 2)x = -1x \text{ or simply } -x
\]

3. **Combine the constant terms:**
\[
2.25 - 14 = 2.25 - 14.00 = -11.75
\]

Combining all the simplified parts, we have:
\[
14.75x^2 - x - 11.75
\]

So the correct and simplified expression is:
\[
\boxed{14.75x^2 - x - 11.75}
\]

If you have a specific point of disagreement, please let me know, and I'll clarify further!

anonymous anonymous answered
1 month ago

your answer is wrong dude

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

I apologize for any confusion in my previous responses. Let’s reevaluate the expression \( (14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14) \) step by step, ensuring that we do it accurately.

### Step 1: Write down the expression:
\[
(14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)
\]

### Step 2: Remove the parentheses:
This doesn't change any signs because we are adding:
\[
14x^2 - 3x + 2.25 + 0.75x^2 + 2x - 14
\]

### Step 3: Combine like terms:
- **For the \(x^2\) terms:**
\[
14x^2 + 0.75x^2 = 14.75x^2
\]

- **For the \(x\) terms:**
\[
-3x + 2x = -1x \text{ (or simply } -x\text{)}
\]

- **For the constant terms:**
\[
2.25 - 14 = 2.25 - 14 = -11.75
\]

### Step 4: Combine these results:
Putting it together gives:
\[
14.75x^2 - x - 11.75
\]

### Conclusion
Thus, after carefully reviewing the calculations, the simplified sum of the polynomials is:
\[
\boxed{14.75x^2 - x - 11.75}
\]

If you believe there’s a mistake in the interpretation or calculation, please let me know which part you think is incorrect!