Answer:
The correct answer is option D: 4x² - 13x + 3.
Explanation:
To expand the expression (4x - 1)(x - 3), we use the distributive property of multiplication.
Let's multiply each term of the first expression (4x - 1) by each term of the second expression (x - 3):
(4x - 1)(x - 3) = 4x(x) - 4x(3) - 1(x) - 1(-3)
Now, simplify each term:
= 4x^2 - 12x - x + 3
Combining like terms:
= 4x^2 - 13x + 3
Therefore, the expanded form of (4x - 1)(x - 3) is 4x^2 - 13x + 3.
The correct answer is option D: 4x² - 13x + 3.