According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?(1 point)

Question

According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?(1 point)

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2 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

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

Answer 2

Step-by-Step Bot answered
1 year ago

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.