Asked by bluesanta
−x
2
plus, 2, y, squared+2y
2
minus, 2, x, cubed−2x
3
minus, 7, y, squared−7y
2
minus, 6, y, cubed−6y
3
minus, 4, y, cubed−4y
3
minus, 4, x, cubed−4x
3
Result:
2
plus, 2, y, squared+2y
2
minus, 2, x, cubed−2x
3
minus, 7, y, squared−7y
2
minus, 6, y, cubed−6y
3
minus, 4, y, cubed−4y
3
minus, 4, x, cubed−4x
3
Result:
Answers
Answered by
bluesanta
what is the liked term of 6y^3 and 4y^3
Answered by
bluesanta
thats not the cobined term
Answered by
bluesanta
The term minus, 7, y, squared−7y
2
and 2, y, squared2y
2
combiend
2
and 2, y, squared2y
2
combiend
Answered by
bluesanta
The term minus, 6, x, cubed−6x
3
and 7, x, cubed7x
3
combine
3
and 7, x, cubed7x
3
combine
Answered by
bluesanta
The term minus, 2, y, cubed−2y
3
and y, cubedy
3
combine
3
and y, cubedy
3
combine
Answered by
GPT-4o mini
To combine the expression you've provided, we'll identify and combine like terms. The original expression is:
\[
- x^2 + 2y^2 + 2y^2 - 2x^3 - 2x^3 - 7y^2 - 7y^2 - 6y^3 - 4y^3 - 4x^3
\]
Now, let's arrange it and group like terms:
1. **Terms with \( x^3 \)**:
- \(-2x^3 - 2x^3 - 4x^3 = -8x^3\)
2. **Terms with \( y^2 \)**:
- \(2y^2 + 2y^2 - 7y^2 - 7y^2 = 4y^2 - 14y^2 = -10y^2\)
3. **Terms with \( y^3 \)**:
- \(-6y^3 - 4y^3 = -10y^3\)
4. **Constant terms and remaining terms**:
- \(-x^2\) remains as is.
Now, let's combine everything:
\[
-x^2 - 8x^3 - 10y^2 - 10y^3
\]
Thus, the simplified result of your expression is:
\[
-8x^3 - x^2 - 10y^2 - 10y^3
\]
\[
- x^2 + 2y^2 + 2y^2 - 2x^3 - 2x^3 - 7y^2 - 7y^2 - 6y^3 - 4y^3 - 4x^3
\]
Now, let's arrange it and group like terms:
1. **Terms with \( x^3 \)**:
- \(-2x^3 - 2x^3 - 4x^3 = -8x^3\)
2. **Terms with \( y^2 \)**:
- \(2y^2 + 2y^2 - 7y^2 - 7y^2 = 4y^2 - 14y^2 = -10y^2\)
3. **Terms with \( y^3 \)**:
- \(-6y^3 - 4y^3 = -10y^3\)
4. **Constant terms and remaining terms**:
- \(-x^2\) remains as is.
Now, let's combine everything:
\[
-x^2 - 8x^3 - 10y^2 - 10y^3
\]
Thus, the simplified result of your expression is:
\[
-8x^3 - x^2 - 10y^2 - 10y^3
\]
Answered by
GPT-4o mini
The like terms \(6y^3\) and \(4y^3\) can be combined by simply adding their coefficients.
\[
6y^3 + 4y^3 = (6 + 4)y^3 = 10y^3
\]
So, the combined like term of \(6y^3\) and \(4y^3\) is \(10y^3\).
\[
6y^3 + 4y^3 = (6 + 4)y^3 = 10y^3
\]
So, the combined like term of \(6y^3\) and \(4y^3\) is \(10y^3\).
Answered by
GPT-4o mini
Apologies for the oversight. Let's correctly combine the terms \(6y^3\) and \(4y^3\):
\[
6y^3 + 4y^3 = (6 + 4)y^3 = 10y^3
\]
However, I realize we misunderstood the context of your question. If we assume that you are looking to combine them in the context of subtraction:
If we take \(6y^3\) and subtract \(4y^3\), we have:
\[
6y^3 - 4y^3 = (6 - 4)y^3 = 2y^3
\]
If your context involves subtraction, the combined term would be \(2y^3\). If we meant addition, it is indeed \(10y^3\).
Please let me know if there is a specific context or correction you would like to clarify!
\[
6y^3 + 4y^3 = (6 + 4)y^3 = 10y^3
\]
However, I realize we misunderstood the context of your question. If we assume that you are looking to combine them in the context of subtraction:
If we take \(6y^3\) and subtract \(4y^3\), we have:
\[
6y^3 - 4y^3 = (6 - 4)y^3 = 2y^3
\]
If your context involves subtraction, the combined term would be \(2y^3\). If we meant addition, it is indeed \(10y^3\).
Please let me know if there is a specific context or correction you would like to clarify!
Answered by
GPT-4o mini
To combine the terms \(2y^2\) and \(-7y^2\), we treat them as like terms because they both contain the same variable raised to the same power.
Here's how to combine them:
\[
2y^2 - 7y^2 = (2 - 7)y^2 = -5y^2
\]
So the combined term of \(2y^2\) and \(-7y^2\) is \(-5y^2\).
Here's how to combine them:
\[
2y^2 - 7y^2 = (2 - 7)y^2 = -5y^2
\]
So the combined term of \(2y^2\) and \(-7y^2\) is \(-5y^2\).
Answered by
GPT-4o mini
To combine the terms \(-6x^3\) and \(7x^3\), treat them as like terms:
\[
-6x^3 + 7x^3 = (-6 + 7)x^3 = 1x^3 = x^3
\]
So, the combined term of \(-6x^3\) and \(7x^3\) is \(x^3\).
\[
-6x^3 + 7x^3 = (-6 + 7)x^3 = 1x^3 = x^3
\]
So, the combined term of \(-6x^3\) and \(7x^3\) is \(x^3\).
Answered by
GPT-4o mini
To combine the terms \(-2y^3\) and \(y^3\), treat them as like terms:
\[
-2y^3 + 1y^3 = (-2 + 1)y^3 = -1y^3 = -y^3
\]
So, the combined term of \(-2y^3\) and \(y^3\) is \(-y^3\).
\[
-2y^3 + 1y^3 = (-2 + 1)y^3 = -1y^3 = -y^3
\]
So, the combined term of \(-2y^3\) and \(y^3\) is \(-y^3\).