(1/2x+1/3y)²-(1/2x-1/3y)²

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(1/2x+1/3y)²-(1/2x-1/3y)²
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(1/2x+1/3y)²-(1/2x-1/3y)²
(1/2x+1/3y)²-(1/2x-1/3y)²

(1/2x+1/3y)²-(1/2x-1/3y)²
(1/2x+1/3y)²-(1/2x-1/3y)²
=(1/2x+1/3y+1/2x-1/3y)(1/2x+1/3y-1/2x+1/3y)
=x*2/3y
=2/3xy
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