Simplifying the Expression (8x^2 + 10)  (6x  2)
This article will guide you through the process of simplifying the algebraic expression (8x² + 10)  (6x  2).
Understanding the Expression
The expression involves:
 Variables: The variable 'x' represents an unknown value.
 Coefficients: Numbers multiplying the variables, such as 8 in 8x² and 6 in 6x.
 Constants: Numbers without any variables, such as 10 and 2.
 Parentheses: They indicate grouping and order of operations.
Simplifying the Expression
To simplify this expression, we'll follow these steps:

Distribute the negative sign: The minus sign in front of the second set of parentheses means we need to multiply each term inside the parentheses by 1: (8x² + 10) + (1)(6x) + (1)(2)

Simplify: (8x² + 10)  6x + 2

Combine like terms: We can combine the constant terms: 8x²  6x + 12
Final Result
The simplified expression is 8x²  6x + 12.
Key Points
 Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.
 Combining Like Terms: Only terms with the same variable and exponent can be combined.
By understanding the basic principles of algebraic simplification, you can confidently manipulate and simplify expressions like this one.