Simplifying the Expression: (5x2)(4x+6)
This article will guide you through the process of simplifying the algebraic expression (5x  2)  (4x + 6).
Understanding the Expression
The expression involves two sets of parentheses, with the second set being subtracted from the first. To simplify, we'll use the distributive property and combine like terms.
Steps to Simplify

Distribute the negative sign: Since we are subtracting the entire second set of parentheses, we need to distribute the negative sign to each term inside:
(5x  2)  (4x + 6) = 5x  2  4x  6

Combine like terms: Identify the terms with the same variable (x) and the constant terms. Combine them separately:
(5x  4x) + (2  6)

Simplify: Perform the addition and subtraction:
x  8
Conclusion
The simplified form of the expression (5x  2)  (4x + 6) is x  8. This process demonstrates how to work with parentheses and combine like terms in algebraic expressions.