Question
Distribute minus, 3, left parenthesis, 2, plus, 2, x, right parenthesis, .−3(2+2x)
Answers
GPT-4o mini
To distribute \(-3\) across the expression \((2 + 2x)\), you will multiply \(-3\) by each term inside the parentheses.
Here's how you do that step by step:
1. Multiply \(-3\) by \(2\):
\[
-3 \times 2 = -6
\]
2. Multiply \(-3\) by \(2x\):
\[
-3 \times 2x = -6x
\]
Now, combine the results:
\[
−3(2 + 2x) = -6 - 6x
\]
So, the final expression is:
\[
-6 - 6x
\]
Here's how you do that step by step:
1. Multiply \(-3\) by \(2\):
\[
-3 \times 2 = -6
\]
2. Multiply \(-3\) by \(2x\):
\[
-3 \times 2x = -6x
\]
Now, combine the results:
\[
−3(2 + 2x) = -6 - 6x
\]
So, the final expression is:
\[
-6 - 6x
\]
Distribute 3, left parenthesis, minus, x, squared, minus, 2, x, right parenthesis, .3(−x
2
−2x).
2
−2x).
GPT-4o mini
To distribute \(3\) across the expression \((-x^2 - 2x)\), you will multiply \(3\) by each term inside the parentheses.
Here's how to do that step by step:
1. Multiply \(3\) by \(-x^2\):
\[
3 \times (-x^2) = -3x^2
\]
2. Multiply \(3\) by \(-2x\):
\[
3 \times (-2x) = -6x
\]
Now, combine the results:
\[
3(-x^2 - 2x) = -3x^2 - 6x
\]
So, the final expression is:
\[
-3x^2 - 6x
\]
Here's how to do that step by step:
1. Multiply \(3\) by \(-x^2\):
\[
3 \times (-x^2) = -3x^2
\]
2. Multiply \(3\) by \(-2x\):
\[
3 \times (-2x) = -6x
\]
Now, combine the results:
\[
3(-x^2 - 2x) = -3x^2 - 6x
\]
So, the final expression is:
\[
-3x^2 - 6x
\]
Perform the operation.
left parenthesis, 4, x, squared, minus, 3, x, plus, 8, right parenthesis, plus, left parenthesis, 3, x, squared, minus, 9, x, plus, 4, right parenthesis
(4x
2
−3x+8)+(3x
2
−9x+4)
left parenthesis, 4, x, squared, minus, 3, x, plus, 8, right parenthesis, plus, left parenthesis, 3, x, squared, minus, 9, x, plus, 4, right parenthesis
(4x
2
−3x+8)+(3x
2
−9x+4)
GPT-4o mini
To perform the operation \( (4x^2 - 3x + 8) + (3x^2 - 9x + 4) \), you need to combine like terms from both expressions.
1. **Combine the \(x^2\) terms:**
\[
4x^2 + 3x^2 = 7x^2
\]
2. **Combine the \(x\) terms:**
\[
-3x - 9x = -12x
\]
3. **Combine the constant terms:**
\[
8 + 4 = 12
\]
Now, put it all together:
\[
(4x^2 - 3x + 8) + (3x^2 - 9x + 4) = 7x^2 - 12x + 12
\]
So, the final result is:
\[
7x^2 - 12x + 12
\]
1. **Combine the \(x^2\) terms:**
\[
4x^2 + 3x^2 = 7x^2
\]
2. **Combine the \(x\) terms:**
\[
-3x - 9x = -12x
\]
3. **Combine the constant terms:**
\[
8 + 4 = 12
\]
Now, put it all together:
\[
(4x^2 - 3x + 8) + (3x^2 - 9x + 4) = 7x^2 - 12x + 12
\]
So, the final result is:
\[
7x^2 - 12x + 12
\]
Perform the operation.
left parenthesis, minus, 10, x, squared, plus, 2, x, minus, 10, right parenthesis, minus, left parenthesis, minus, 10, x, squared, plus, 3, right parenthesis
(−10x
2
+2x−10)−(−10x
2
+3)
left parenthesis, minus, 10, x, squared, plus, 2, x, minus, 10, right parenthesis, minus, left parenthesis, minus, 10, x, squared, plus, 3, right parenthesis
(−10x
2
+2x−10)−(−10x
2
+3)
GPT-4o mini
To perform the operation
\[
(-10x^2 + 2x - 10) - (-10x^2 + 3),
\]
we first need to distribute the negative sign in front of the second parentheses.
1. **Distributing the negative sign:**
When you subtract, you change the signs of the terms inside the parentheses:
\[
(-10x^2 + 2x - 10) + (10x^2 - 3)
\]
2. **Now combine like terms:**
- **Combine the \(x^2\) terms:**
\[
-10x^2 + 10x^2 = 0
\]
- **Combine the \(x\) terms:**
\[
2x
\]
- **Combine the constant terms:**
\[
-10 - 3 = -13
\]
Putting it all together:
\[
0 + 2x - 13 = 2x - 13
\]
So, the final result is:
\[
2x - 13
\]
\[
(-10x^2 + 2x - 10) - (-10x^2 + 3),
\]
we first need to distribute the negative sign in front of the second parentheses.
1. **Distributing the negative sign:**
When you subtract, you change the signs of the terms inside the parentheses:
\[
(-10x^2 + 2x - 10) + (10x^2 - 3)
\]
2. **Now combine like terms:**
- **Combine the \(x^2\) terms:**
\[
-10x^2 + 10x^2 = 0
\]
- **Combine the \(x\) terms:**
\[
2x
\]
- **Combine the constant terms:**
\[
-10 - 3 = -13
\]
Putting it all together:
\[
0 + 2x - 13 = 2x - 13
\]
So, the final result is:
\[
2x - 13
\]
What is the missing term?
minus, 1−1 question mark? minus, 5−5
xx 4, x, squared4x
2
5, x5x
4, x4x plus, 5+5
minus, 1−1 question mark? minus, 5−5
xx 4, x, squared4x
2
5, x5x
4, x4x plus, 5+5
GPT-4o mini
It appears that you are presenting a pattern or an equation involving terms \( -1 \), \( -5 \), \( 4x^2 \), \( 5x \), and \( 4x \) with an editable space marked \( ? \).
To find the missing term, I will need more context or details about the relationships among these terms.
For example, if you are referring to an arithmetic sequence, a polynomial, or you want to establish a balance between the given terms, please provide that information or clarify what you're trying to achieve. Without additional context, it's difficult to determine what the missing term should be.
To find the missing term, I will need more context or details about the relationships among these terms.
For example, if you are referring to an arithmetic sequence, a polynomial, or you want to establish a balance between the given terms, please provide that information or clarify what you're trying to achieve. Without additional context, it's difficult to determine what the missing term should be.