Question

use the distributive property to expand 6(2x - 8y) - 4.
6(2x - 8y) - 4 =
(simplify your answer. use integers or decimals for any numbers in the expression)

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab+ac \). Here, \( a = 6 \), \( b=2x \) and \( c=- 8y \), so \( 6(2x - 8y)=6\times2x-6\times8y \)
\( 6\times2x - 6\times8y=12x-48y \)

Step2: Subtract 4

Now we have \( 12x - 48y-4 \) (since we just need to expand \( 6(2x - 8y)-4 \), after applying distributive property on \( 6(2x - 8y) \) we subtract 4)

Answer:

\( 12x - 48y-4 \)