Which products result in difference of squares (x-y)(y-x)

(6-y)(6-y)

(3+xz)(-3+xz)

(y^2-xy)(y^2+xy)

Step-by-step explanation:

The Difference of Squares

Any difference of two squared monomial results in a factored form like shown below:

Similarly:

For a product of binomials to be a difference of squares, they must be in the described form.

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(x-y)(y-x) can be rewritten as:

-(x-y)(x-y)

Since both binomials are identicals, the product will not result in a difference of squares.

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(6-y)(6-Y)

Since both binomials are identicals, the product will not result in a difference of squares.

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(3+xz)(-3+xz) can be rewritten as:

(xz+3)(xz-3). This product is a sum multiplied by a difference of the very same terms, thus the result is a difference of squares:

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. This product is a sum multiplied by a difference of the very same terms, thus the result is a difference of squares:

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Summarizing:

(3+xz)(-3+xz)