(x+2y)^2-x^2-12(x-2y)^2+4y^2
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(x+2y)^2-x^2-12(x-2y)^2+4y^2(x+2y)^2-x^2-12(x-2y)^2+4y^2(x+2y)^2-x^2-12(x-2y)^2+4y^2(x+2y)^2-x^2-12(
(x+2y)^2-x^2-12(x-2y)^2+4y^2
(x+2y)^2-x^2-12(x-2y)^2+4y^2
(x+2y)^2-x^2-12(x-2y)^2+4y^2
(x+2y)^2-x^2-12(x-2y)^2+4y^2
=(x+2y-x)(x+2y+x)-12(x-2y)^2+4y^2
=2y(2x+2y)-12(x-2y)^2+4y^2
=4y(x+y)+4y^2-12(x-2y)^2
=4(xy+y^2+y^2)-12(x^2-4xy+4y^2)
=4(xy+2y^2-3x^2+12xy-12y^2)
=4(13xy-3x^2-10y^2)
原式=x^2 +4xy+4y^2 -x^2 -12(x^2 -4xy+4y^2)+4y^2
=4xy+4y^2-12x^2+48xy-48y^2+4y^2
=52xy-40y^2 -12x^2
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