What is the difference between polynomials and two squares?

How do you determine if a polynomial is the difference of two squares?

The difference of two squares is of the form a² − b². If a or b contain coefficients, they must be perfect squres. For example, x² − 4y² is the difference of two squares since 4 is a perfect square, but x² − 4y² is not since 3 is not a perfect square. I hope that addresses what you were wondering about. (The difference of two squares is a polynomial, just of a special type).

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9 Responses to What is the difference between polynomials and two squares?

  1. Polyhymnio says:

    The difference of two squares is of the form a² − b². If a or b contain coefficients, they must be perfect squres. For example, x² − 4y² is the difference of two squares since 4 is a perfect square, but x² − 4y² is not since 3 is not a perfect square. I hope that addresses what you were wondering about. (The difference of two squares is a polynomial, just of a special type).
    References :

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