Question

Using the distributive property, rewrite the expression (-2x - 8) (-6).

a. 12x - 48
b. 12x - 8
c. -96x
d. -2x + 48
e. 12x + 48

Answer 1

The expression (-2x - 8) (-6) using the distributive property is rewritten as 12x + 48, with each term in the parentheses multiplied by -6.

Step-by-step explanation:

Using the distributive property, we can rewrite the expression (-2x - 8) (-6) by multiplying each term inside the parentheses by -6.

• Multiplying -2x by -6 gives us +12x, since when two negative numbers multiply, the answer has a +ve sign.
• Similarly, multiplying -8 by -6 gives us +48, following the same rule.

Combining these two results, we get the new expression: 12x + 48.

Therefore, the correct answer is e. 12x + 48.