Final answer:
To simplify the expression u+v³-7u-3v³, combine like terms to get the simplified expression -6u - 2v³.
Step-by-step explanation:
The student is asking to simplify the algebraic expression u+v³-7u-3v³. To simplify the expression, you should combine like terms. The terms containing u are u and -7u, and the terms containing v³ are v³ and -3v³. When combining like terms, we add or subtract the coefficients (the numerical parts) while keeping the variable parts the same.
Simplifying the given expression:
- Combine u and -7u: u - 7u = -6u
- Combine v³ and -3v³: v³ - 3v³ = -2v³
Thus, the simplified expression is -6u - 2v³.