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

Answer 1

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 2

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

Answer 3

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 4

another 2

Answer 5

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 6

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

Answer 7

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 8

give me a harder question with the answer

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!