Final answer:
To simplify the expression (x²+3x-5)-(4x²+3x-6), combine like terms and distribute the negative sign. The expression is equivalent to -3x² + x + 1.
Step-by-step explanation:
To simplify the expression (x²+3x-5)-(4x²+3x-6), we combine like terms and distribute the negative sign:
(x²+3x-5)-(4x²+3x-6) = x² + 3x - 5 - 4x² - 3x + 6
Next, we collect like terms and simplify:
x² - 4x² + 3x - 3x - 5 + 6 = -3x² + x + 1
Therefore, the expression is equivalent to -3x² + x + 1.