X2
(5)2 = 25
(- 5)2 = 25
An identity, almost, as any number put into this expression will yield the same value.
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X2 Is an algebraic expression. X2 = 4 Is an equation that can be solved for X. The variable, X, in this case, has two values. In the expression any value can be substituted for X.
The value of the expression x2 + 9 will depend on what value you plug in for x. If you are looking to factor that expression, it can only be done using complex numbers:x2 + 9 = (x + 3i)(x - 3i)
4
x2 - x - 6 is a polynomial expression, often referred to as a trinomial as it has three terms. If it were made equal to some value (for example x2 - x - 6 = 0) then it would become a quadratic equation. This particular expression can be factored :- x2 - x - 6 = (x - 3)(x + 2)
x2 + 6x - 5 is a quadratic expression that can not be factored.