Final answer:
To find the sum of (x²-4x+3) and (3x²-3x-5), combine like terms. The sum is 4x² - 7x - 2.
Step-by-step explanation:
To find the sum of (x²-4x+3) and (3x²-3x-5), you need to combine like terms. Start by adding the coefficients of the terms with the same exponent.
The sum of the quadratic terms is (x² + 3x²) = 4x².
The sum of the linear terms is (-4x - 3x) = -7x.
The sum of the constant terms is (3 - 5) = -2.
So the sum of the two expressions is 4x² - 7x - 2.