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Mathematics 16 Online
OpenStudy (anonymous):

can someone help me compare and contrast these two equations I already know the products but how do i compare and contrast this question? Find the two products below. Compare and contrast, in complete sentences, the similarities and differences of the two. (x + 6)(x - 6) and (x - 6)(x - 6)

OpenStudy (tommo_lcfc):

(x+6)(x-6) expanded gives x^2 + 6x - 6x - 36. This simplifies to x^2 - 36 and so is a difference of two squares. (x+6)(x+6) expanded gives x^2 + 6x + 6x + 36 which is x^2 + 12x + 36. The differences between the two expressions are that the first has no 'x' co-efficients whereas the second one does and in the constant term, the signs are changed.

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