(x+3y)^2-2(x^2-9y^2)+(x-3y)^2

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(x+3y)^2-2(x^2-9y^2)+(x-3y)^2
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(x+3y)^2-2(x^2-9y^2)+(x-3y)^2
(x+3y)^2-2(x^2-9y^2)+(x-3y)^2

(x+3y)^2-2(x^2-9y^2)+(x-3y)^2
(x+3y)^2-2(x^2-9y^2)+(x-3y)^2
=（x+3y）^2-2(x+3y)(x-3y)+(x-3y)^2
=(x+3y-x+3y)^2 (应用平方和公式)
=(6y)^2
=36y^2

原式=(x+3y)²-2(x+3y)(x-3y)+(x-3y)²
=[(x+3y)-(x-3y)]²
=(6y)²
=36y²

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