In the expression \( 1 + 10u + v^3 + 7v^2 \), the terms are the distinct parts separated by '+' signs. The terms in the expression are:
- \( 1 \) (a constant term)
- \( 10u \) (a term involving \( u \))
- \( v^3 \) (a term involving \( v \))
- \( 7v^2 \) (a term involving \( v^2 \))
Now, looking at the options:
- \( 7v \) is not a term in the expression.
- \( 9u \) is not a term in the expression.
- \( 7v^2 \) is a term in the expression.
- \( 8u \) is not a term in the expression.
Therefore, the only term in the expression from your provided options is \( 7v^2 \).