Final answer:
The simplified form of the given expression (4x²+5x+7)+(3x²-3x-8) is 7x² + 2x - 1, obtained by combining like terms. The answer is checked and found reasonable.
Step-by-step explanation:
To simplify the algebraic expression given in the directions, we combine like terms. The expression given is (4x²+5x+7)+(3x²-3x-8). To simplify, we add the coefficients of like terms:
- The x² terms: 4x² + 3x² = 7x²
- The x terms: 5x - 3x = 2x
- The constant terms: 7 - 8 = -1
Therefore, the simplified form of the expression is 7x² + 2x - 1.
To check if the answer is reasonable, ensure the like terms are correctly combined and no terms have been omitted. Since we are working with simple addition and like terms were combined appropriately, it is reasonable to conclude that 7x² + 2x - 1 is the correct simplification.