Question

give me a problem similiar to 4(x^2+x)-(x^2-4)

Answer 1

5y^2+10y-y^2-6
So subtract like terms for a final product of 4y^2+10y-6

Answer 2

another 2

Answer 3

So
Z^2+15z-8
A^2+3a=10

Answer 4

give me a harder question with the answer

Answer 5

Sure! Here's a similar problem for you:

**Problem:** Simplify the expression \( 5(y^2 + 2y) - (y^2 - 6) \).

If you need help with the solution or further problems, just let me know!

Answer 6

You're close, but let's go through the simplification step-by-step to ensure accuracy:

Starting with the expression you provided:

\[
5(y^2 + 2y) - (y^2 - 6)
\]

1. Distribute the \(5\) in the first term:
\[
5y^2 + 10y
\]
2. Distribute the negative sign in the second term:
\[
-y^2 + 6
\]
3. Now, combine the two results:
\[
5y^2 + 10y - y^2 + 6
\]

4. Combine like terms:
\[
(5y^2 - y^2) + 10y + 6 = 4y^2 + 10y + 6
\]

So, the final simplified expression is:

\[
4y^2 + 10y + 6
\]

If you have any further questions or need clarification, feel free to ask!

Answer 7

Sure! Here are two more problems similar to the original expression \( 4(x^2 + x) - (x^2 - 4) \):

### Problem 1:
**Simplify the expression:**
\[ 3(z^2 + 5z) - (2z^2 + 8) \]

### Problem 2:
**Simplify the expression:**
\[ 2(a^2 + 3a) - (a^2 - 10) \]

You can solve them step-by-step, just like before. Let me know if you need help with these!

Answer 8

Let's go through each expression step-by-step. It seems there may have been a slight mistake in your calculations.

### Problem 1:
**Expression:**
\[ 3(z^2 + 5z) - (2z^2 + 8) \]

1. Distribute the \(3\):
\[
3z^2 + 15z
\]
2. Distribute the negative sign:
\[
-2z^2 - 8
\]
3. Combine the results:
\[
(3z^2 + 15z) - (2z^2 + 8) = 3z^2 + 15z - 2z^2 - 8
\]
4. Combine like terms:
\[
(3z^2 - 2z^2) + 15z - 8 = 1z^2 + 15z - 8 = z^2 + 15z - 8
\]

### Problem 2:
**Expression:**
\[ 2(a^2 + 3a) - (a^2 - 10) \]

1. Distribute the \(2\):
\[
2a^2 + 6a
\]
2. Distribute the negative sign:
\[
-a^2 + 10
\]
3. Combine the results:
\[
(2a^2 + 6a) - (a^2 - 10) = 2a^2 + 6a - a^2 + 10
\]
4. Combine like terms:
\[
(2a^2 - a^2) + 6a + 10 = 1a^2 + 6a + 10 = a^2 + 6a + 10
\]

### Final Results:

- For the first expression, you get:
\[
z^2 + 15z - 8
\]

- For the second expression, you get:
\[
a^2 + 6a + 10
\]

Let me know if you have any further questions or need more practice!

Answer 9

Sure! Here's a more challenging expression for you to simplify:

### Problem:
**Simplify the expression:**
\[ 4(2x^2 - 3x + 1) - 3(x^2 - 2x - 4) + 5 \]

### Step-by-Step Solution:

1. **Distribute the \(4\):**
\[
4 \cdot 2x^2 - 4 \cdot 3x + 4 \cdot 1 = 8x^2 - 12x + 4
\]

2. **Distribute the \(-3\):**
\[
-3 \cdot x^2 + 3 \cdot 2x + 3 \cdot 4 = -3x^2 + 6x + 12
\]

3. **Now combine all the parts:**
\[
8x^2 - 12x + 4 - 3x^2 + 6x + 12 + 5
\]

4. **Combine like terms:**
- **For \(x^2\):**
\[
8x^2 - 3x^2 = 5x^2
\]
- **For \(x\):**
\[
-12x + 6x = -6x
\]
- **For the constant terms:**
\[
4 + 12 + 5 = 21
\]

5. **Putting it all together:**
\[
5x^2 - 6x + 21
\]

### Final Answer:
The simplified expression is:
\[
5x^2 - 6x + 21
\]

Feel free to reach out if you need further explanations or more problems!