Question

Create an equivalent expression to the one shown without using parentheses. −4(12x − 3) + 6x - 4 ( 1 2 x - 3 ) + 6 x

A.16x
B.4x + 12
C.-4x
D. 8x - 12

Answer 1

To create an equivalent expression without parentheses for −4(12x - 3) + 6x - 4, we distribute the −4 across (12x - 3) and combine like terms to get −42x + 8. None of the provided choices match this result, suggesting a typo or error in the question or the answer choices.

Step-by-step explanation:

To create an equivalent expression without using parentheses, we distribute and combine like terms. Let's start by distributing the −4 in −4(12x − 3):

• −4 × 12x = −48x
• −4 × (−3) = +12

Now we combine the distributed terms with the rest of the expression:

• −48x + 6x (from the +6x term)
• +12 − 4 (from the −4 at the end of the expression)

Combining like terms, we add the x terms together and the constant terms together:

• (−48x + 6x) = −42x
• (+12 − 4) = +8

Therefore, the equivalent expression is −42x + 8. However, this is not one of the answer choices provided. The provided choices may have typos or may be incorrect. It is important to verify the initial expression and the answer choices given to ensure accuracy.