Question

Which products result in a difference of squares? Select three options.

Answer 1

Answer:

Step-by-step explanation:

The complete question is

Which products result in a difference of squares? Check all that apply.

• (x – y)(y – x)
• (6 – y)(6 – y)
• (3 + xz)(–3 + xz)
• (y2 – xy)(y2 + xy)
• (25x – 7y)(–7y + 25x)
• (64y2 + x2)(–x2 + 64y2)

Options that result in a difference of square are:

$(3 + xz)(-3 + xz)=(xz+3)(xz-3)=xz^{2}-3^{2}$

$(y^{2} - xy)(y^{2} + xy)=(y^{2})^{2} -(xy)^{2}$

$(64y^{2} + x^{2} )(-x^{2} + 64y^{2} )=(64y^{2}+x^{2})(64y^{2}-x^{2})=(64y^{2})^{2}-(x^{2})^{2}$