Identify whether the following expressions are quadratic or not, and state why or why not they are quadratic:

This expression is not quadratic because it does not contain a term with exponent '2' on the variable.

This expression is quadratic because

The above expression is quadratic because its degree is 2. In other words, it is quadratic because the sum of exponents of `x` and `y` in any single term is never greater than 2.

This expression is not quadratic because the sum of exponents of `x` and `y` in the first term is 3.

`x^2 + 2x^3 + 3`

This expression is not quadratic because it contains a term with exponent greater than 2 on the variable `x`.

`x + 2`

This expression is not quadratic because it does not contain a term with exponent '2' on the variable.

`x^2 + 2x + 1`

This expression is quadratic because

- the greatest exponent on `x` is 2
- `x` does not have negative exponents or exponents greater than 2

`xy + x^2 + y^2`

The above expression is quadratic because its degree is 2. In other words, it is quadratic because the sum of exponents of `x` and `y` in any single term is never greater than 2.

`x^2y + xy + 1`

This expression is not quadratic because the sum of exponents of `x` and `y` in the first term is 3.

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