Use properties of real numbers to write the following expression without parentheses. $- \frac { 3 } { 2 } ( 6 x - 4 y )$
A)9y - 6x
B)9x + 6y
C)9x - 6y
D)6y - 9x
E)6x - 9y

Question

Quizplus · Accepted Answer

Using the distributive property and the fact that multiplication is associative, we have:
$- \frac{ 3 } { 2 } ( 6 x - 4 y ) = -\frac{3}{2}\cdot 6 x + \frac{3}{2}\cdot 4 y = -9x + 6y = 6y - 9x$
Therefore, the answer is choice D.

Use Properties of Real Numbers to Write the Following Expression −32(6x−4y)- \frac { 3 } { 2 } ( 6 x - 4 y )−23​(6x−4y)

Use Properties of Real Numbers to Write the Following Expression $- \frac { 3 } { 2 } ( 6 x - 4 y )$