Introduction:
In mathematics, the expression x^2 represents the square of a real number x. The notation x^2 means raising x to the power of 2, which is equivalent to multiplying x by itself. This concept is fundamental in algebra and has various applications in different fields of mathematics, physics, and engineering.

Explanation:
To understand x^2 x 1, we need to interpret each part of the expression separately.

x^2:
The term x^2 represents the square of a real number x. When a number is squared, it is multiplied by itself. For example, if x = 3, then x^2 = 3^2 = 3 x 3 = 9. The result is always a positive number or zero, as multiplying a positive number by itself yields a positive result, and multiplying zero by itself gives zero.

x belongs to reals:
The phrase "x belongs to reals" indicates that x is a real number. In mathematics, real numbers include all rational and irrational numbers, which can be represented on the number line. Real numbers encompass integers, fractions, decimals, and even numbers like π (pi) and √2 (square root of 2).

x^2 x 1:
Now, let's combine the two parts of the expression. Multiplying x^2 by 1 simply gives x^2, regardless of the value of x. For example, if x = 3, then x^2 x 1 = 3^2 x 1 = 9 x 1 = 9. Similarly, if x = -2, then x^2 x 1 = (-2)^2 x 1 = 4 x 1 = 4.

Conclusion:
In summary, the expression x^2 x 1 represents the square of a real number x multiplied by 1. Since multiplying any number by 1 does not change its value, x^2 x 1 is equivalent to x^2. Therefore, the result of x^2 x 1 will always be the square of the given real number x.