According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?(1 point)
A. 3x2+6x+4
B. 3x2−5x+4
C. 3x(x)+3x(−4)+−1(x)+−1(−4)
D. 3x(−1)+3x(3x)+x(−4)+x(x)
According to the Distributive Property, the algebraic expression (3x-1)(x-4) can be rewritten as:
(3x * x) + (3x * -4) + (-1 * x) + (-1 * -4)
Simplifying this expression gives: 3x^2 - 12x - x + 4
Therefore, the correct answer is:
B. 3x^2 - 13x + 4
According to the Distributive Property, the algebraic expression (3x−1)(x−4) can be rewritten as the sum of the products of each term in the first expression with each term in the second expression. Therefore, the expression can be expanded as follows:
(3x−1)(x−4) = 3x(x) + 3x(-4) + (-1)(x) + (-1)(-4)
Simplifying this expression further:
= 3x^2 - 12x - x + 4
Combining like terms:
= 3x^2 - 13x + 4
Therefore, the correct answer is:
B. 3x^2 - 13x + 4