Question

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

Answer 1

Wrong

Answer 2

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

1. Group the terms:
- Quadratic terms: \(14x^2\) and \(0.75x^2\)
- Linear terms: \(-3x\) and \(2x\)
- Constant terms: \(2.25\) and \(-14\)

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

3. Combine the linear terms:
\[
-3x + 2x = (-3 + 2)x = -1x = -x
\]

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

5. Putting it all together:
\[
14.75x^2 - x - 11.75
\]

Thus, the simplified expression is:
\[
\boxed{14.75x^2 - x - 11.75}
\]

Answer 3

Let me go through the simplification step-by-step again to ensure accuracy.

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

Now, let's combine the like terms:

1. **Quadratic Terms**:
- \(14x^2\) from the first expression
- \(0.75x^2\) from the second expression

Combine these:
\[
14x^2 + 0.75x^2 = (14 + 0.75)x^2 = 14.75x^2
\]

2. **Linear Terms**:
- \(-3x\) from the first expression
- \(2x\) from the second expression

Combine these:
\[
-3x + 2x = (-3 + 2)x = -1x = -x
\]

3. **Constant Terms**:
- \(2.25\) from the first expression
- \(-14\) from the second expression

Combine these:
\[
2.25 - 14 = 2.25 - 14 = -11.75
\]

Now we can combine all the results together:
\[
14.75x^2 - x - 11.75
\]

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

If there was something else that you needed me to check or clarify, please let me know!