Simplifying the Expression (6x  2y  5)  (5 + 9y  8x)
This article will guide you through simplifying the expression (6x  2y  5)  (5 + 9y  8x).
Understanding the Problem
We have a subtraction problem involving two expressions:
 (6x  2y  5)
 (5 + 9y  8x)
Our goal is to combine like terms and simplify the expression.
StepbyStep Solution

Distribute the negative sign: Remember that subtracting an expression is the same as adding its opposite. So, we change the minus sign in front of the second parenthesis to a plus sign and change the signs of each term inside the parenthesis.
(6x  2y  5) + (5  9y + 8x)

Combine like terms: Group together terms with the same variable and constant terms.
(6x + 8x) + (2y  9y) + (5 + 5)

Simplify: Perform the addition or subtraction within each group.
(14x) + (11y) + (0)

Final Expression: The simplified expression is:
14x  11y
Conclusion
The simplified form of the expression (6x  2y  5)  (5 + 9y  8x) is 14x  11y. By distributing the negative sign and combining like terms, we have successfully simplified the original expression.