Final answer:
To simplify the expression, combine like terms with the same variable and exponent. The result is 46u²v² since 23v³-11v³-12v³ simplifies to 0.
Step-by-step explanation:
The question asks to simplify variable expressions involving like terms. Specifically, simplify the expression 23v³-11v³-12v³+46u²v².
To simplify an expression with like terms we combine the terms that have the same variables raised to the same power. Here, we only combine v³ terms:
- 23v³ - 11v³ - 12v³ = (23 - 11 - 12)v³ = 0v³ = 0
The u²v² term does not have any like terms to combine with, so it remains as is. Thus, the simplified expression is 46u²v².
Remember to check if the simplified expression is reasonable, which in this case, it is because all like terms were correctly combined and any extraneous terms eliminated.