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:
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\(7x^2 + 3\):
- \(7x^2\) is one term.
- \(3\) is the second term.
- Total: 2 terms.
-
\(6x^2 - 9x - 8\):
- \(6x^2\) is one term.
- \(-9x\) is the second term.
- \(-8\) is the third term.
- Total: 3 terms.
-
\(4x + 4 - 4\):
- \(4x\) 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.
1 answer