Problem 99

Question

Write each algebraic expression without parentheses. $$-(2 x-3 y-6)$$

Step-by-Step Solution

Verified
Answer
-2x + 3y + 6
1Step 1: Identify the expression
The expression is \(-(2x - 3y - 6)\). This is a simple algebraic expression with a negative sign in front, and parentheses.
2Step 2: Distribute the negative sign
Distribute the negative sign to each term inside parenthesis. Remember, a negative before the parenthesis means we have to change the sign of every term inside the parenthesis.
3Step 3: Apply the operation
To apply the operation: \(-1 * (2x - 3y - 6)\) results in \(-2x + 3y + 6\). The negative sign before 2x, 3y, and 6 has been reversed, as the negative sign has been distributed to each term inside the parenthesis.