Use the distributive property to write the following expression without parentheses.
\[
-\frac{2}{3}(6 x-3 y)
\]
$-\frac{2}{3}(6 x-3 y)=$
(Use integers or fractions for any numbers in the expression.)
Answer
\(\boxed{-\frac{2}{3}(6 x-3 y) = -4x + 2y}\)
Step 1 ：The given expression is \(-\frac{2}{3}(6 x-3 y)\).
Step 2 ：We can use the distributive property to write the expression without parentheses. The distributive property states that for all real numbers a, b, and c: a * (b + c) = a * b + a * c.
Step 3 ：Applying the distributive property to the expression \(-\frac{2}{3} * (6x - 3y)\), we multiply \(-\frac{2}{3}\) by each term inside the parentheses.
Step 4 ：This gives us \(-4x + 2y\).
Step 5 ：So, the expression \(-\frac{2}{3}(6 x-3 y)\) without parentheses is \(-4x + 2y\).
Step 6 ：\(\boxed{-\frac{2}{3}(6 x-3 y) = -4x + 2y}\)
