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If x=2yx=2yx=2y and y≠0y \neq 0y=0, then (x−y)(2x+y)(x-y)(2x+y)(x−y)(2x+y) equals
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Since x=2yx=2yx=2y, then (x−y)(2x+y)=(2y−y)(2(2y)+y)=(y)(5y)=5y2(x-y)(2x+y)=(2y-y)(2(2y)+y)=(y)(5y) = 5y^2(x−y)(2x+y)=(2y−y)(2(2y)+y)=(y)(5y)=5y2.
Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.