As a professional teacher, one of my responsibilities is to help my students understand mathematics concepts easily. One of the problems that students often struggle with is the product of 4n 4n 4. In this article, I will explain the meaning of this expression and provide a step-by-step solution to it.
What is the Product of 4n 4n 4?
The product of 4n 4n 4 is a mathematical expression that involves multiplication. It simply means that you have to multiply the number 4 by the variable n, then multiply it again by n, and finally multiply it by 4 again. In other words, the expression is equivalent to (4 x n) x (4 x n) x 4.
Solution
To solve the product of 4n 4n 4, we need to follow a few basic steps. Let's take a look at them below:
Step 1: Simplify the Expression
The first step is to simplify the expression by multiplying 4 by n, which gives us 4n. We then multiply 4n by n, which gives us 4n x n = 4n^2. Finally, we multiply 4n^2 by 4, which gives us the expression 16n^2.
Step 2: Write the Final Answer
The final answer to the product of 4n 4n 4 is 16n^2. This means that if we have a value for n, we can substitute it into the expression and calculate the product easily.
Example
Let's take an example to make things clearer. Suppose we have the expression 4n 4n 4, and we want to find its product when n equals 3. Here's how we can solve it:
Step 1: Simplify the Expression
We start by simplifying the expression as follows: 4n x 4n x 4 = 16n^2 x 4 = 64n^2
Step 2: Substitute n = 3
Now that we have simplified the expression, we can substitute the value of n = 3 into it as follows: 64 x 3^2 = 64 x 9 = 576 Therefore, the product of 4n 4n 4 when n = 3 is 576.
Conclusion
In conclusion, the product of 4n 4n 4 is a mathematical expression that involves multiplication. To solve it, we need to simplify the expression first by multiplying 4 by n and then multiplying it by n again. Finally, we multiply the result by 4 to get the final answer. The solution to the expression is 16n^2. By following the simple steps outlined above, we can easily calculate the product of 4n 4n 4 for any given value of n.
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