Understanding The Expression 2 4X 2 4X 12 X 1

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Introduction

As a professional teacher, it is essential to explain and provide solutions to mathematical problems. In this article, we will be discussing the expression 2 4x 2 4x 12 x 1. We will break down the expression and explain the concepts involved to help you understand the solution better.

Breaking down the Expression

The expression 2 4x 2 4x 12 x 1 is a combination of numbers and variables. The variables used in this expression are x. The numbers are 2, 4, and 12. The expression is a combination of addition and multiplication.

Multiplication

Multiplication is a mathematical operation that involves finding the product of two or more numbers. In the expression 2 4x 2 4x 12 x 1, the multiplication operation is between 4 and x, and 12 and x.

Addition

Addition is a mathematical operation that involves finding the sum of two or more numbers. In the expression 2 4x 2 4x 12 x 1, the addition operation is between 2 and 4x, and 2 and 4x.

Solution to the Expression

To solve the expression 2 4x 2 4x 12 x 1, we need to combine like terms. Like terms are terms that have the same variable and exponent. In this expression, 4x and 4x are like terms, and 2 and 2 are like terms.

Step 1: Combine Like Terms

To combine like terms, we add the coefficients (numbers in front of the variables) of the like terms. Therefore, 4x + 4x = 8x, and 2 + 2 = 4. The expression becomes 8x 4 12 x 1.

Step 2: Simplify the Expression

To simplify the expression further, we need to multiply 12 and x. Therefore, the expression becomes 8x 4 12x.

Final Solution

The final solution to the expression 2 4x 2 4x 12 x 1 is 8x 4 12x.

Conclusion

In conclusion, the expression 2 4x 2 4x 12 x 1 is a combination of numbers and variables. To solve the expression, we need to combine like terms and simplify the expression. Understanding the concepts involved in this expression will help you solve more complex mathematical problems.