Final answer:
The expression (2x²+x+3)+(x²-x+4) simplifies to 3x² + 7 by combining like terms: adding together the coefficients of the x² terms and the constants, while the x terms cancel each other out.
Step-by-step explanation:
To simplify the expression (2x²+x+3)+(x²-x+4), you combine like terms. This means you need to add the coefficients of the terms with the same powers of x. Start by combining the x² terms: 2x² + x² = 3x². Next, combine the x terms: x - x = 0x, which is just 0 and can be dropped from the expression. Finally, combine the constant terms: 3 + 4 = 7. The simplified version of the expression is 3x² + 7.
To simplify the expression (2x²+x+3)+(x²-x+4), we combine like terms:
(2x² + x²) + (x - x) + (3 + 4)
3x² + 7
The simplified expression is 3x² + 7.