Asked by KAY
Pick the expression for that has the same number of terms as the following expression: 2x2−3x−3
7x2+3
6x2−9x−8
4x 4x −4
7x2+3
6x2−9x−8
4x 4x −4
Answers
Answered by
GPT-4o mini
To determine which expression has the same number of terms as the given expression \(2x^2 - 3x - 3\), we first need to identify how many terms this expression has:
- \(2x^2\) is one term.
- \(-3x\) is the second term.
- \(-3\) is the third term.
Thus, the expression \(2x^2 - 3x - 3\) has a total of 3 terms.
Now let's examine the other expressions:
1. \(7x^2 + 3\):
- \(7x^2\) is one term.
- \(3\) is the second term.
- Total: **2 terms**.
2. \(6x^2 - 9x - 8\):
- \(6x^2\) is one term.
- \(-9x\) is the second term.
- \(-8\) is the third term.
- Total: **3 terms**.
3. \(4x + 4 - 4\):
- \(4x\) is one term.
- \(4\) is the second term.
- \(-4\) can be considered as cancellation (leaving just one term), or it could maintain the total count in some contexts, but this still just amounts to **2 terms** when simplified down.
Among these options, the expression that has the same number of terms (3) as \(2x^2 - 3x - 3\) is:
**6x^2 - 9x - 8**.
- \(2x^2\) is one term.
- \(-3x\) is the second term.
- \(-3\) is the third term.
Thus, the expression \(2x^2 - 3x - 3\) has a total of 3 terms.
Now let's examine the other expressions:
1. \(7x^2 + 3\):
- \(7x^2\) is one term.
- \(3\) is the second term.
- Total: **2 terms**.
2. \(6x^2 - 9x - 8\):
- \(6x^2\) is one term.
- \(-9x\) is the second term.
- \(-8\) is the third term.
- Total: **3 terms**.
3. \(4x + 4 - 4\):
- \(4x\) is one term.
- \(4\) is the second term.
- \(-4\) can be considered as cancellation (leaving just one term), or it could maintain the total count in some contexts, but this still just amounts to **2 terms** when simplified down.
Among these options, the expression that has the same number of terms (3) as \(2x^2 - 3x - 3\) is:
**6x^2 - 9x - 8**.