Final answer:
The expressions (5x+3)+3x^2-2 and (5x+1)+3x^2 are equivalent because they both simplify to 5x + 3x^2 + 1.
Step-by-step explanation:
The student is asking whether the expressions (5x+3)+3x^2-2 and (5x+1)+3x^2 are equivalent. To determine this, we will simplify both expressions by combining like terms.
For the first expression, (5x+3)+3x^2-2, we combine the constant terms 3 and -2, which results in:
5x + 3x^2 + 1.
For the second expression, (5x+1)+3x^2, it is already simplified and is equal to:
5x + 3x^2 + 1.
Since both expressions simplify to the same expression, the answer is Yes, the expressions are equivalent.