To determine which of the given options are terms in the expression \(3m^2 + 10n^2 + 4\), let's identify what a term is. In a polynomial expression, a term is a single mathematical expression that can consist of numbers, variables, or both, usually separated by plus (+) or minus (−) signs.
The expression provided is: \[ 3m^2 + 10n^2 + 4 \]
Now, let's analyze the options:
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3m2 - This term is equivalent to \(3m^2\) and is part of the expression.
-
N^2 - This does not appear in the expression. The expression contains \(10n^2\), but it does not have a standalone \(n^2\) term. So, this option is not a term in the expression.
-
10^3 - This term does not appear in the expression. There is \(10n^2\) in the expression, but \(10^3\) does not match any part. Therefore, this option is not a term in the expression.
-
3m - This is not a standalone term in the expression. The expression contains \(3m^2\), but not \(3m\) alone. Thus, this option is not a term in the expression.
-
10n^2 - This term appears in the expression, as it is part of the original polynomial.
Based on the analysis, the terms that are part of the expression \(3m^2 + 10n^2 + 4\) are:
- 3m2
- 10n^2
So the correct options are:
- 3m2
- 10n^2