[(3x-1/2y^2)^2+(3x+1/2y^2)^2](18x2-1/2y^4)

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[(3x-1/2y^2)^2+(3x+1/2y^2)^2](18x2-1/2y^4)

[(3x-1/2y^2)^2+(3x+1/2y^2)^2](18x2-1/2y^4)
[(3x-1/2y^2)^2+(3x+1/2y^2)^2](18x2-1/2y^4)

[(3x-1/2y^2)^2+(3x+1/2y^2)^2](18x2-1/2y^4)
[(3x-1/2y^2)^2+(3x+1/2y^2)^2](18x2-1/2y^4)
=(18x2+1/2y^4) (18x2-1/2y^4)
=324x^4-1/4y^8

=(9x²-3xy²+1/4y^4+9x²+3xy²+1/4y^4)(18x²-1/2y^4)
=(18x²+1/2y^4)(18x²-1/2y^4)
=324x^4-1/4y^8

答:
[(3x-1/2y^2)^2+(3x+1/2y^2)^2](18x2-1/2y^4)
=[9x^2-3xy^2+(y^4)/4+9x^2+3xy+(y^4)/4]*[18x^2-(y^4)/2]
=[18x^2+(y^4)/2]*[18x^2-(y^4)/2]
=(18x^2)^2-(y^8)/4
=324x^4-(y^8)/4