According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?(1 point)
The correct way to rewrite the expression using the Distributive Property is:
(3x-1)(x-4) = 3x(x) + 3x(-4) - 1(x) - 1(-4) or
(3x-1)(x-4) = 3x^2 - 12x - x + 4 or
(3x-1)(x-4) = 3x^2 - 13x + 4
To apply the Distributive Property, you need to multiply each term inside the first parentheses by each term inside the second parentheses, and then combine like terms if any.
(3x - 1)(x - 4) can be rewritten using the Distributive Property as follows:
Step 1: Multiply the first term in the first parentheses by each term inside the second parentheses:
3x * x = 3x^2
3x * -4 = -12x
Step 2: Multiply the second term in the first parentheses by each term inside the second parentheses:
-1 * x = -x
-1 * -4 = 4
Step 3: Combine the resulting terms:
3x^2 - 12x - x + 4
Step 4: Simplify the expression by combining like terms:
3x^2 - 13x + 4
Therefore, the expression (3x - 1)(x - 4) can be rewritten as 3x^2 - 13x + 4.