B Help me with this operations

why x2 . y2 = (x-y) (x+y) and xy . y2 cannot be (x-y) (y+y)
 

kuruman

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why x2 . y2 = (x-y) (x+y) and xy . y2 cannot be (x-y) (y+y)
If by x2 . y2 you mean ##x^2\cdot y^2##, then it is not equal to ##(x-y)(x+y)##.
It is true that ##x^2-y^2=(x-y)(x+y)##. It is also true that ##xy-y^2=(\sqrt{xy}-y)(\sqrt{xy}+y)## . Try substituting ##x=8## and ##y=2## to see how it works.
 

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