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Chapter 0: Problem 99

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

Short Answer

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

Step by step solution

01

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.
02

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.
03

Write the final expression

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

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