Simplifying the Expression (x+2)(x2)12x
This article will guide you through the process of simplifying the algebraic expression (x+2)(x2)12x.
Understanding the Expression
The expression involves several terms:
 (x+2): This is a binomial representing the sum of 'x' and 2.
 (x2): This is another binomial representing the difference of 'x' and 2.
 12x: This is a monomial representing the product of 12 and 'x'.
Simplifying the Expression

Distribute the negative sign: The minus sign before the second parenthesis indicates that we need to multiply each term inside the parenthesis by 1. This results in: (x + 2) + (x + 2)  12x

Combine like terms: Identify terms with the same variable and exponent. In this case, 'x' and 'x' are like terms, and '2' and '2' are like terms. Combine these terms: (x  x) + (2 + 2)  12x

Simplify: Perform the indicated operations: 0 + 4  12x

Final result: The simplified expression is 4  12x.
Conclusion
By following the steps above, we successfully simplified the expression (x+2)(x2)12x to 4  12x. This simplified form allows for easier analysis and manipulation of the expression in further calculations or equations.