Problem 99 - Algebra and Trigonometry

Question

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

Step-by-Step Solution

Answer

The algebraic expression \(-(2 x-3 y-6)\) without parentheses becomes: \(-2x + 3y + 6\).

Step 1: Identify the terms inside the parentheses

In the given problem \(-(2 x-3 y-6)\), the terms inside the parentheses are \(2x\), \(-3y\) and \(-6\). Since the entire selection is negated, this will affect all individual terms inside.

Step 2: Apply the negative sign to each term

Now, distribute or apply the negative sign to each term inside the parentheses. This gives -\(2x\), \(+3y\) and \(+6\) respectively.

Step 3: Write the final expression

Now, we combine these terms back together to get the final expression without parentheses. This gives: -\(2x + 3y + 6\).