simplify x 4 x

Guri Bee

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21-10-2024

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Simplifying Expressions: x * 4 * x

Understanding how to simplify algebraic expressions is a fundamental skill in mathematics. Let's explore how to simplify the expression x * 4 * x.

What does it mean to simplify an expression?

Simplifying an expression means rewriting it in a way that is easier to understand and work with. This often involves combining like terms and using the order of operations.

Let's break down the expression x * 4 * x:

• Commutative Property: Multiplication is commutative, meaning the order in which we multiply numbers doesn't change the result. So, we can rearrange the expression as 4 * x * x.
• Combining Like Terms: We have two 'x' terms. Multiplying two variables together means we raise the variable to the power of 2. Therefore, x * x = x².

The simplified expression:

Combining these steps, we get:

4 * x * x = 4 * x²

Practical Example:

Let's say we have a square with sides of length 'x'. The area of a square is calculated by multiplying the side length by itself. So, the area of our square is x * x = x². If we want to find the area of four such squares, we multiply the area of one square by 4: 4 * x². This simplifies the calculation of the total area.

In conclusion:

Simplifying x * 4 * x to 4 * x² makes the expression more concise and easier to work with. This concept applies to many other algebraic expressions and is crucial for solving various mathematical problems.

Note: This explanation is based on basic algebraic principles and is a simplified example for illustrative purposes. For more complex expressions, additional rules and concepts might be required.