"x times x" is mathematically represented as x², which is read as "x squared". Here's some information about it:
It's a Monomial: x² is a single term algebraic expression. It's a monomial because it's the product of a variable (x) raised to a non-negative integer power (2).
It represents an Area: If x represents the length of the side of a square, then x² represents the area of that square.
It's a Quadratic Function (when considered in a larger context): If you have a function like y = x², this is a quadratic function, which creates a parabola when graphed.
Exponentiation: The operation is exponentiation, specifically squaring.
Expanding: It's already in its simplest form. There's no expansion needed unless it's part of a larger expression. For example, (x+1)(x+1) expands to x² + 2x + 1, which includes an x² term.
Value depends on x: The value of x² entirely depends on the value of x. If x = 2, then x² = 4. If x = -3, then x² = 9. Note that squaring a negative number always results in a positive number.
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