分解因式:3a^4-2/3a^2+27/1 (x+2y)^2-2(x+2y)+1 (a+b)^2+(a-b)^2-4ab (x-2y)^2-(x+2y)^2+2x^2+8y^2
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3a^4-2/3a^2+1/27
=(1/27)(81a^4-18a²+1)
=(1/27)(9a-1)²
(x+2y)^2-2(x+2y)+1
=(x+2y-1)²
(a+b)^2+(a-b)^2-4ab
=2a²-4ab+2b²
=2(a²-2ab+b²)
=2(a-b)²
(x-2y)^2-(x+2y)^2+2x^2+8y^2
=(x-2y+x+2y)(x-2y-x-2y)+2x²+8y²
=2x²-8xy+8y²
=2(x²-4xy+4y²)
=2(x-2y)²
=(1/27)(81a^4-18a²+1)
=(1/27)(9a-1)²
(x+2y)^2-2(x+2y)+1
=(x+2y-1)²
(a+b)^2+(a-b)^2-4ab
=2a²-4ab+2b²
=2(a²-2ab+b²)
=2(a-b)²
(x-2y)^2-(x+2y)^2+2x^2+8y^2
=(x-2y+x+2y)(x-2y-x-2y)+2x²+8y²
=2x²-8xy+8y²
=2(x²-4xy+4y²)
=2(x-2y)²
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